5x + 3y = 41
2x + 3y = 20
show me step by steps how to do this

Answers

Answer 1

Answer:

x=7 and y=2

Step-by-step explanation:

In this case, you want to use elimination

1. multiply the second equation by -1

       5x + 3y = 41

       2x + 3y = 20

turns into

       5x + 3y = 41

       -2x + 3y = 20

2. combine the equations

       3x=21

3. solve for x

3x=21

3x/3=21/3

x=7

4. Now you want to plug x back into the original equation

5x+3y=41

turns into

5(7)+3y=41

5. Then solve for y

35+3y=41

35+3y-35=41-35

3y=6

3y/3=6/3

y=2

6. results

x=7 and y=2


Related Questions

Eyjafjallajokull is a volcano in Iceland. In a recent eruption, a projectile is ejected with an initial velocity of 304 feet per second. The height, H, in feet is given by the equation: H=-16t^2+304t Where t is the time in seconds. We will use the equation that traces the path of the projective to determine the following information: 1) The time it takes the projective to reach its highest point. (t=?) 2) The maximum height? (H=?) 3) The time it takes the projectile to return to the ground? (t=?)

Answers

Answer:

A volcano ejected with an initial velocity of 304 feet per second.

The height in feet is given by the equation H=-16t^2+ 304t where t is the time in seconds.

We will use the equation that traces the path of the projectile to determine the following information:

1) The time it takes the projectile to reach its maximum height (using the vertex formula: t=-b/2a)

The equation; H = -16t^2 + 304t, a=-16; b=304

t = -304/2°(-16)

t = 9.5 sec to reach max height

2) The maximum height of the projectile (use the result from part 1 to find the maximum height of the projectile)

t = 9.5

H = -16(9.5^2) + 304(9.5)

h = = -1444 + 2888

h = 1444 ft is the max height

3) Find the time it takes the projectile to return to the ground. Assume that the projectile starts at height H=0.

-16t^2 + 304t = 0

factor out -16t

-16t(t - 19) = 0

t = 19 sec to reach the ground

Step-by-step explanation:

Which equation best matches the graph shown below?

Answers

Answer:

y= 10x² + 7x + 2.8

Step-by-step explanation:

because the 10x was used twice then the it went to the line of 7x and went down to 2.8 then for the second time it went to 10x

Answer:

-10x^2+7x+4 Would be the correct option

Please thank my question. :)

What is the answer to this?

Answers

Answer:

2x+1=9

Step-by-step explanation:

[tex]\sqrt{2x+1}+5=2[/tex]

[tex]\sqrt{2x+1}=-3[/tex]

[tex]2x+1=9[/tex]

If they want you to solve, then you can go farther.

2x=8

x=4

Check for extraneous solutions:

[tex]\sqrt{2(4)+1} +5 = 2[/tex]

find the difderence of 3/4 and 1/28​

Answers

Answer:

5/7

Step-by-step explanation:

3/4-1/28

21/28-1/28

20/28

simplify

5/7

In Ms. Rivera’s desk, there are 14 yellow markers. There are 8 more pink markers than yellow markers, and 6 more blue than pink. How many markers does Mrs. Rivera have in her desk?

Answers

Answer:

64

Step-by-step explanation:

since ms. rivera has 8 more pink markers than yellow markers you would add 8 and get 22, so she has 22 pink markers and 14 yellow. for the blue markers it says she has 6 more blue markets than pink so you would add 6 to the 22 pink markers and get 28.

So ms. rivera has 14 yellow, 22 pink, 28 blue

add them all together and you get 64.

The total number of markers Mrs. Rivera have in her desk is 64.

Given that, Ms. Rivera’s desk, there are 14 yellow markers.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the total number of markers be x.

There are 8 more pink markers than yellow markers

So, number of pink markers = 14+8

= 22

There are 6 more blue markers than pink markers

So, number of blue markers = 22+6

= 28

Here, x= Number of yellow markers + Number of pink markers + Number of blue markers

= 14+22+28

= 64

Therefore, the total number of markers Mrs. Rivera have in her desk is 64.

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DOES ANYONE KNOW PLEASE HELP ME I WILL MARK BRAINLIEST <3

Answers

Answer:

i got this i hope this is helpfulI'm sry I can't read and ans

Step-by-step explanation:

Electronic entry of medication orders through CPOE may reduce errors from poor handwriting or incorrect transcription. CPOE systems often include functionalities such as drug dosage support, alerts about harmful interactions, and clinical decision support, which may further reduce errors.

Find the measure of angle m

Answers

Answer:

36

Step-by-step explanation:

Any triangle have 180 degrees in total.

So 60 + 84 + angle M = 180

144 + angle M = 180

180 - 144 = angle M

angle = 36

36 degrees. Subtract those two numbers by 180 degrees.

Kenya uses mental math to find the sum of 235 and 23. She uses 235,20 and one other number. What is the missing number

Answers

Answer:

Step-by-step explanation:

She is missing 3. 235 plus 20 is 255 but the answer is 258 so she is missing 3

Elevator 1 in a building moved from ground position to a final position of +13 feet. Elevator 2 in the same building moved from ground to a final position of −10 feet. Which statement best describes the final positions of these two elevators? (5 points)

Question 4 options:

1)

Elevator 1 is 13 feet above ground level, and Elevator 2 is 10 feet below the position of Elevator 1.

2)

Elevator 1 is 13 feet below ground level, and Elevator 2 is 10 feet above the position of Elevator 1.

3)

Elevator 1 is 13 feet below ground level, and Elevator 2 is 10 feet above ground level.

4)

Elevator 1 is 13 feet above ground level, and Elevator 2 is 10 feet below ground level.

Answers

Answer:

Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below the position of Elevator 1. We are given that Elevator 1 is "+12 feet" and Elevator 2 is "-15 feet" meaning 15 feet below that of Elevator 1 (because they said it was where it was at Elevator 1 ground level prior), so this should be your answer "A".

Step-by-step explanation:

1 a

Kelly is nine years older than her sister. Kelly's age is one more than twice her sisters age. What is Kelly's age?

Answers

Answer:

17 years old

I hope this helps

I think it might be right

sorry if it is wrong

Leora is finding the length of a horizontal line segment on a coordinate grid She subtracted the x coordinates and got
-17.5 What is her next step?
Add 17.5
Take the absolute value of -17.5
Add the y.coordinate values.
Round up to -17

Answers

Answer:

Take the absolute value of -17.5

Step-by-step explanation:

Answer:

2. Take the absolute value of ' - 17. 5 '

Step by Step Explanation:

The distance/length is always positive, so make sure to take the absolute value of -17.5

Please help me?i don’t want to fail

Answers

Answer:

8.

9y-3y=6

-4x-(-5x)=1

the slope is 6

9.

you start at the 0 axis and go up 3 on the y.Once you did that you want to go up 2 on the y axis then 3 to the right on the x axis,then go up 2 then 3 to the right.

Step-by-step explanation:

-2 (y - 3) = y + 24 HELPPP PLEASEE ITS DUEEE IN 5MINN

Answers

Answer:

y = -6

Step-by-step explanation:

-2(y - 3) = y + 24

-2y + 6 = y +24

-18 = 3y

-6 = y

Answer to the question below please.

Answers

Answer:

The choice 3;

[tex]x = 15 \: \: \: \\ y = 17[/tex]

Step-by-step explanation:

[tex]m < 2 = m < 4[/tex]

Opposite;

[tex]7x + 7 = 112 \\ 7x = 112 - 7 \\ 7x = 105 \\ \\ x = \frac{105}{7} \\ \\ x = 15[/tex]

____o__o___

[tex]m < 3 + m < 4 = 180 \\ 4y + 112 = 180 \\ 4y = 180 - 112 \\ 4y = 68 \\ \\ y = \frac{68}{4} \\ \\ y = 17[/tex]

For the following inequality, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the inequality. Be sure to include at least two terms from the word bank
1/4 x \leq -3

Answers

Answer:

x<=-12

Step-by-step explanation:

1/4x<=-3

*Multiply both sides by 4

x<=-12

and it's solved :)

Curtis has started to bike every day. His goal is to ride 16.5 kilometers each day. He bikes of that distance on Monday. He bikes 3.5 fewer
kilometers on Tuesday than he did on Monday.
How many kilometers did Curtis bike on Monday and Tuesday combined? Enter the answer in the box.
kilometers
help

Answers

Answer:29.5 kilometers

Step-by-step explanation: 16.5-3.5=13 then you add 13 and 16.5

The solution is: Eric biked total 1.875 Km.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

On Monday, Eric biked = 1 Km 125 m

                                      = 1.125 Km

On Tuesday, Eric biked = 1.125 Km - 375 m

                                      = 1.125 - 0.375 Km

                                      = 0.75 Km

So, Eric biked on both day

=1.125 + 0.75

= 1.875 Km

Hence, Eric biked total 1.875 Km.

Learn more about unitary method here:

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complete question:

Eric biked 1 kilometer 125 meters on Monday. on Tuesday, he biked 375 meters less than on Monday how far did he bike both days

factorise
28q+35
pls help​

Answers

Answer:

7(4q+5)..................

Directions: Compare the sides and angles by filling in the blank with a < or > symbol.

Answers

Answer:

Number 21 is < number 23 is > number 22 is < and number 24 is >

Step-by-step explanation:

I will give crown thing
On a map of Northern Virginia, 1 inch = 4 miles. The distance from Springfield to Dulles International Airport is 5.8 inches on the map. What is the actual distance to the airport?

Answers

Answer:

23.2 miles

Step-by-step explanation:

You just need to multiply de number of inches by the number of miles that values 1 in. Therefore

4 multiplied by 5.8 = 23.2

Answer:

The actual distance to the airport is 23.2 miles.

Step-by-step explanation:

1 inch = 4 miles

5.8 · 4 = 23.2

Since the distance to the Airport is 5.8 inches, you will multiply it by 4. You do this because 1 inch = 4 miles.

1985 x 99 I already know the answer: 196515

Answers

Answer:

the answer is 196515

Step-by-step explanation:

If u already knew the why u put upped the question?

W LOOKS LIKE PAIN, DEM
Directions:
Plattbo ondorod patroof obere ca a pregl la tho endor boy
aro Motod conmocilag tbeca with longercato as you plot thom.
Start a new Une after the word "LINE ENDE.
• (1.-20)
(3,-20)
(3.-19)
(4,-10)
(4,-5).
(2,-7)
LINEENDS
(4, 21)
(S24)
(S, 20)
(1, 20)
(0, 19)
(4, 16)
(d, 14)
(3, 14)
(2, 15)
LINZENDS
(-8, 15)
(-8, 14)
(-4, 12)
(-4, 5)
(-5, 3)
(-6, 0)
(-6,-3)
(-5,-6);
(-4,-7)
(-4,-20)
(-5,-21)
(-6,-23)
(-4,-23)
(-4,-22)
(-3,-20)
(-3,-7)
(-1,-7)
(-1,-20)
(0.-22)
(0,-23)
(2,-23)
(1,-21)
(0,-20)
(0,-7)
(1,-6)
LINEENDS
(4,-5)
(5,-)
(9,-18)
(6,-19)
(6;-20)
(8,-20)
(6.-17)
(6.-8)
(3,-1)
(6, 1)
F2, -3)
(8,4).
(9, 7)
(10, 4)
(9, 2)
(8, 2)
LINEENDS
(-2, 5)
(-2. 12)
(2, 14)
(2, 15)
(0, 10)
(-1, 19)
(-1, 20)
(-5, 20)
(-5, 19)
(-6, 10)
(-8, 15)
(-9, 14)
(-10, 14)
(-10, 16)
(-6, 19)
(-7, 20)
(-11, 20)
(-11, 24)
(-10, 21)
(-9, 21)
(-9, 23)
(-8, 21)
(-6, 21)
(-5, 20)
LINEENDS
(-3, 15)
(-3, 16)
(-4, 17)
(-4, 19)
(-5, 18)
(-1, 18)
(-2, 19)
(-2, 17)
(-3, 16)
LINEENDS
(-i, 16)
(0, 16)
(-1, 15)
(-5, 15)
(-6, 16)
(-5, 16)
LINEENDS
(0,-7)
(2,-7)
(3,-8)
(3,-17)
W, 3)
(5, 4)
(3, 4)
(1, 3)
(0, 3)
(-1, 20)
(0, 21)
(2, 21)
(3, 23)
(3, 21)
Mystery Media
29

Answers

Answer:

Step-by-step explanation:

S

(4,-5)

(5,-)

(9,-18)

(6,-19)

(6;-20)

(8,-20)

(6.-17)

(6.-8)

(3,-1)

(6, 1)

F2, -3)

(8,4).

(9, 7)

(10, 4)

(9, 2)

(8, 2)

LINEENDS

(-2, 5)

(-2. 12)

(2, 14)

(2, 15)

(0, 10)

(-1, 19)

(-1, 20)

(-5, 20)

(-5, 19)

(-6, 10)

(-8, 15)

(-9, 14)

(-10, 14)

(-10, 16)

(-6, 19)

(-7, 20)

(-11, 20)

(-11, 24)

(-10, 21)

(-9, 21)

(-9, 23)

(-8, 21)

(-6, 21)

(-5, 20)

LINEENDS

(-3, 15)

(-3, 16)

(-4, 17)

(-4, 19)

(-5, 18)

(-1, 18)

(-2, 19)

(-2, 17)

(-3, 16)

LINEENDS

(-i, 16)

(0, 16)

(-1, 15)

(-5, 15)

(-6, 16)

(-5, 16)

LINEENDS

(0,-7)

(2,-7)

(3,-8)

(3,-17)

W, 3)

(5, 4)

(3, 4)

(1, 3)

(0, 3)

(-1, 20)

(0, 21)

(2, 21)

(3, 23)

(3, 21)

Mystery Media

Which variable would you eliminate first to solve this system using the elimination method? 3x+7y=2 -3x-y=10

Answers

Answer:

x

Step-by-step explanation:

Since the x- terms are opposites , that is 3x and - 3x , then when the 2 equations are added the x- term will be eliminated.

Population grows.
The population of Boston, MA in 2019 was
692,600 people with an annual rate of increase
1.4%. In what year the population of Boston
will reach 1,000,000 people, if the grows rate
stays the same? The function describing
population grows is P(x)=692,600 - 1.014,
where x is number of years.

Answers

Population are often modelled by exponential functions

The population will reach 1000000 people after 26.5 years

The population function is given as:

[tex]P(x) = 692600 \times 1.014^x[/tex]

When the population reaches 1000000 people, we have:

P(x) = 1000000

So, the equation becomes

[tex]1000000 = 692600 \times 1.014^x[/tex]

Divide both sides by 692600

[tex]1.444=1.014^x[/tex]

Take logarithm of both sides

[tex]log(1.444)=log(1.014)^x[/tex]

Apply logarithm to both sides

[tex]log(1.444)=xlog(1.014)[/tex]

Make x the subject

[tex]x = \frac{log(1.444)}{log(1.014)}[/tex]

Solve the logarithms of 1.444 and 1.014

[tex]x = \frac{0.15957}{0.00603}[/tex]

Divide

[tex]x = 26.5[/tex]

The value of x, is the number of years the population reaches 1000000 people.

Hence, the population will reach 1000000 people after 26.5 years

Read more about population at:

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pls help me due t
in 1 hrs I'll give u brainliest answer

If x²+y²=125 and xy=22, find the value of (x+y)².

Answers

[tex]\text{Given that,}~x^2 +y^2 = 125 ~ \text{and}~ xy =22\\\\(x+y)^2 = x^2 +y^2 +2xy = 125 +2(22) = 169[/tex]

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf(x + y) {}^{2} [/tex]

[tex] \sf {x}^{2} + {y}^{2} + 2xy[/tex]

[ by using formula ]

[tex] \sf125 + (2 \times 22)[/tex]

[tex] \sf125 + 44[/tex]

[tex] \sf169[/tex]

I hope it helps ~

83 devided by 3, with remainders

Answers

Answer:

just see how many times 3 goes into 80 which is 26. so then that leaves you with 5 and 3 goes into 5 only 1 time so the answer is 26 and 2

ANSWER: 81 = 27 x 3 + 2
Ok done. Thank to me :>

Please help. I really need an explanation on how to solve and graph the first equation.

Answers

Answer:

  see attached

Step-by-step explanation:

The "slope-intercept" form of an equation for a line is ...

  y = mx + b . . . . . . slope m, y-intercept b; m = rise/run

__

boundary lines

There are several ways to graph equations for a line. One is to make use of the intercepts. That is easiest when their coordinates are integer values. The second inequality is in slope-intercept form, so it is easy to see that its y-intercept is -2.

The first inequality can be put into slope-intercept form by solving for y. That is easily done here by subtracting 6x:

  y ≤ -6x +10

This shows you the boundary line has a slope of -6 and a y-intercept of 10. To graph it, you can plot the points (0, 10) and (1, 4) and draw a line through them. The point (1, 4) is found by using a "rise" of -6 and a "run" of 1 from the y-intercept:

  m = -6 = rise/run = -6/1

  (y-intercept) + (run, rise) = (0, 10) +(1, -6) = (1, 4) . . . . another point on the line

__

Similarly, the boundary line of the second inequality goes through its y-intercept (0, -2) and the point (y-intercept) +(1, 5) = (1, 3). Points (0,-2) and (1, 3) are two points on that boundary line.

__

In both cases, the inequality includes the "or equal to ..." case, so the boundary line is part of the solution set. Accordingly, each is drawn as a solid line (not dashed).

__

shading

To determine where the shading is, you can choose any term with a positive coefficient and look at where it is in relation to the inequality symbol. For your two inequalities, we can look at the left side of the inequality.

  first: 6x ≤

  second: y ≥

These tell you the first solution set is shaded to the left of the boundary line (where x-values are less than those on the line). The second solution set is shaded above the boundary line (where y-values are greater than those on the line). The solution set for the system of inequalities is the doubly-shaded area to the left of both boundary lines.

_____

Additional comment

The x-term in the second inequality has a positive coefficient also. If we were to look at that one, we would see ≥ 5x. That is, the boundary line has greater x-values than those in the solution set, so it, too, will be shaded to the left. (Left and above are the same half-plane for a line with positive slope.)

If both coefficients are negative, you can multiply by -1, which will also reverse the inequality symbol.

Example: -x-y>6 ⇒ x+y<-6; shaded left or below dashed line.

What is
( x + 1 ) ^2

Answers

[tex](x+1)^2 = x^2 +2x + 1[/tex]

Mr.Hickory’s Tree farm spent $2,300 on seeds and supplies to grow 80 trees. Write an inequality to determine how much Mr. Hickory needs to charge for each tree in order to make a profit of at least $2500.

Answers

Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500

Let x represent the amount of money charge for each tree.

The cost of growing the trees is $2300.

The revenue = 80x

Profit = Revenue - cost

Hence, to make a profit of at least $2500:

80x - 2300 ≥ 2500

80x ≥ 4800

x ≥ 60

Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500.

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I NEED HELP WITH #5 and #4

What is the value of f(x) = -3-x when x = -7?
A-10
) B -4
4
D 10

Answers

Answer:

#5. C 4

#4. J 0.3 meters

Step-by-step explanation:

No. 5

f(-7) = -3-(-7)

f(-7) = 4

C

No. 4

s = sqrt(0.09)

s = 0.3 meters

A bookstore had 25 copies of a magazine. Yesterday the bookstore sold 3/5 of these coples. How many copies were sold yesterday?

Answers

Answer:

15

Step-by-step explanation:

25/5 = 5.

3 x 5 / 5+5+5 = 15

15/25 = 3/5

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