Homework: 5.1 Systems of Linear Equations
core: 0 of 1 pt
1 of 9 (5 complete)
5.1.19
Solve by the elimination
method.
7x - y = 51
x + 3y = 23
The solution set is
(Simplify your answer. Type an ordered

Homework: 5.1 Systems Of Linear Equationscore: 0 Of 1 Pt1 Of 9 (5 Complete)5.1.19Solve By The Elimination

Answers

Answer 1

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=8,\:y=5[/tex]

Step-by-step explanation:

Given the system of linear equations

[tex]7x-y=51[/tex]

[tex]x+3y=23[/tex]

solving by the elimination method

[tex]\begin{bmatrix}7x-y=51\\ x+3y=23\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}x+3y=23\mathrm{\:by\:}7\:\mathrm{:}\:\quad \:7x+21y=161[/tex]

[tex]\begin{bmatrix}7x-y=51\\ 7x+21y=161\end{bmatrix}[/tex]

[tex]7x+21y=161[/tex]

[tex]-[/tex]

[tex]\underline{7x-y=51}[/tex]

[tex]22y=110[/tex]

so

[tex]\begin{bmatrix}7x-y=51\\ 22y=110\end{bmatrix}[/tex]

now solving for y

[tex]22y=110[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}22[/tex]

[tex]\frac{22y}{22}=\frac{110}{22}[/tex]

[tex]y=5[/tex]

[tex]\mathrm{For\:}7x-y=51\mathrm{\:plug\:in\:}y=5[/tex]

[tex]7x-y=51[/tex]

[tex]7x-5=5[/tex]

[tex]7x=56[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}7[/tex]

[tex]\frac{7x}{7}=\frac{56}{7}[/tex]

[tex]x=8[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=8,\:y=5[/tex]


Related Questions

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −6
0 −3
1 0
g(x)

g(x) = 4x − 5


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Answers

Answer:Assuming the problem is for the linear functions:

f(x) = -1-50-113 g(x) = -51-113*(2x-7) = -226x+740  

g(x) = 2x-7

Step-by-step explanation:

2(x - 5) = 9 -3x + 6 + 8 + 3x + 7

Answers

Answer:

x = 20

Step-by-step explanation:

2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7

2x - 10 = 9 - 3x + 6 + 8 + 3x + 7

2x = 10 + 6 + 8 + 7 + 9

2x = 40

x = 40 ÷ 2

x = 20

Thus, x = 20

-TheUnknownScientist

what is the midpoint between a(2,-2) and B (-3, 2)​

Answers

Answer:

Midpoint (xM, yM)  =  (4, 5)

Hope it helps if it does pls give me brainly :)

(4,5) thats is the midpoint between them

find the inequality represented by the graph?

Answers

Answer:

y>1/3x-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{1}{3}[/tex]

y-intercept is (- 3)

y > [tex]\frac{1}{3}[/tex] x - 3

multiply (4u - 9s) (4u+ 9s)

Answers

Answer:

it would be 16u2-81s2 using a2-b2 formula

Nine students in Maddie's classroom are wearing red. There are
30 students in her class. Maddie says that 30% of her class is
wearing red. Is Maddie correct? Explain your reasoning,

Answers

Answer:

She is correct because 30 percent of 30 is 9 or in other words if you multiply 30 by 30 percent you get 9.

Step-by-step explanation:

Answer:

Yes she is correct cause 30 times 30 percent is 9

Step-by-step explanation:

The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 260 minutes, the monthly cost will be $114. If the customer uses 640 minutes, the monthly cost will be $247.


A) Find an equation in the form y= mx+b, where x is the number of monthly minutes used y is the total monthly cost of the NextFell plan.


Answer: _____



B) Use your equation to find the total monthly cost if 949 minutes are used.


Answer: If 949 minutes are used, the total cost will be _____ dollars.

Answers

Answer:

Explained below.

Step-by-step explanation:

(A)

Use two-point form to determine the equation for the total monthly cost of the NextFell plan.

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\cdot (x -x_{1})\\\\(y-247)=\frac{247-114}{640-260}\cdot (x-640)\\\\(y-247)=0.35x-224\\\\y=0.35x+23[/tex]

(B)

Compute the total monthly cost if 949 minutes are used as follows:

[tex]y=0.35x+23\\\\=(0.35\times 949)+23\\\\=355.15[/tex]

Thus. the total monthly cost if 949 minutes are used is $355.15.

20c - 8d? need help kinda hard

Answers

Answer:

the answer is 4(5c-2d)

Answer:

20c-8d

Step-by-step explanation:

As long as you weren't any values for c or d, this expression cannot be simplified any further.

HTH :)

The age of a cat 2 years or older can be approximately converted into human years by multiplying by 4 and adding 16. Complete the table to represent the relationship between cat age and human years.

Answers

Answer:

Step-by-step explanation:

If the age of a cat is represented by 'x' and human years by 'y', relation between the age of cat and human years will be,

y = 4x + 16 [multiplying cat's age by 4 and by adding 16]

Now from the given table,

If x = 2,

y = 4×2 + 16

  = 24

If y = 3,

y = 4×3 + 16

  = 28

If x = 4,

y = 4×4 + 16

  = 32

If x = 5,

y = 5×4 + 16

  = 36

If x = 6,

y = 6×4 + 16

  = 40

Cat age             2            3           4            5            6

Human years   24          28        32          36          40

2.0 PLZZ help thank you

Answers

Answer: So if you do 50 dollars - 70% you get, 15 U.S. dollars

Hope this helps :)

15$
Hope this help :)

Find the slope of the line through the given points.
(10, 11) and (15, 16)

Answers

I’m going to say it’s 15, 16
Slope (y2-y1)/(x2-x1)
(16-11)/(15-10) = 5/5 = 1
The slope is 1

If you can solve this for me, I'll give brainliest. It's due today please help

Answers

Answer:

free 25

Step-by-step explanation:

HELP ME FASTTTTTTTTTTTTTTTTTTTT

Answers

Its A correct answer

Given: AB≅ BC and AK ≅ KC, ∠AKE ≅ ∠CKP, Prove: ∆AKE ≅ ∆CKP
PLEASE HELP!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Given:

AB ≅ BC

AK ≅ KC

∠AKE ≅ ∠CKP

To Prove:

ΔAKE ≅ ΔCKP

         Statements                               Reasons

1). AB ≅ BC                                          1). Given

2). ∠BAC ≅ ∠BCA                              2). Property of Isosceles triangles

3). ∠EKA ≅ ∠PKC                               3). Given

4). ΔAKE ≅ ΔCKP                               4). ASA Postulate of congruence

Hence ΔAKE ≅ ΔCKP.

Suppose m<3=127 degrees. Find m<1.

Answers

Answer:

m∠1 = 37°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Geometry

Definition of a Line: A line is 180°All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Define

m∠3 = 127°

m∠G = 90°

Step 2: Find m∠2

Set up equation:                    m∠2 + 127 = 180Isolate unknown:                   m∠2 = 53°

Step 3: Find m∠1

Set up equation:                    m∠1 + m∠2 + m∠G = 180Substitute:                              m∠1 + 53 + 90 = 180Combine like terms:              m∠1 + 143 = 180Isolate unknown:                   m∠1 = 37°

hidden cost of being a teacher?

Answers

Answer:

they have to pay for school supplies

Step-by-step explanation:

Divide 100 by 16 and write the answer as a mixed number. Reduce the
fraction part of the mixed number.

Answers

Answer: 6 1/4?
It says my answer needs more characters, so I’m adding this

Answer:

Step-by-step explanation:

Divide 100 by 16 and you get 6.25 then turn it into a mixed number which would be 6 25/100 then reduce 25/100 by dividing 100 by 25 and 25 by 25 which will give you 1/4 so the answer is 6 1/4.Welcome!

Demarcus has at least $8 more than his
older sister. His older sister has $4.
Which of the following inequalities could
be used to find how much money, m.
Demarcus has?
Om> 8+4
8 - m < 4
8m > 4
HELPPPPPP PLEASE

Answers

Answer:

8m > 4

Step-by-step explanation:

8m, (the amount of money Demarcus has), is more than how much money his older sister has, (4), so 8m is greater than (>) 4

Answer:

8m > 4 is the correct answer:)

I need to show my work using dmdcb help?

Answers

Answer:

2139 with a remainder of 1

Step-by-step explanation:

hope this helps :))) have a great day!

Point A is located at (2, 9) and is reflected in the x-axis. What is the location of Point A'?
(-2, -9)
(2, -9)
(-2, 9)
(9, -2)

Answers

9,-2 because i used to always get confused but i’m not sure that’s the right answer

Pre-algebra 2x+56=22 and -99+-51=60 also 5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13 and (-4 , -5) and (-1 , -1). Solve Now for brainly big brain people can only solve this question!!!

Answers

Answer: 17

Step-by-step explanation:

2x + 56=22

- 56 -56

2x = -34

divide 2x by both sides

x = -17

what is the value of x in teh equation 1/5x-2/3y=30, when y=15​

Answers

Answer:

x=200

Step-by-step explanation:

Given the equation

[tex]\frac{1}{5}x-\frac{2}{3}y=30[/tex]

putting y=15

[tex]\frac{1}{5}x-\frac{2}{3}\left(15\right)=30[/tex]

[tex]\frac{1}{5}x-10=30[/tex]

add 10 to both sides

[tex]\frac{1}{5}x-10+10=30+10[/tex]

[tex]\frac{1}{5}x=40[/tex]

[tex]x=200[/tex]

Therefore, the value of x:

x=200

Find the slope of the line graphed below.

Answers

Answer:

-3/5

Step-by-step explanation:

Answer
3/5
Explanation:
You have to remember rise over run. How many is going up/ rising? 3 is rising/ going up. How many is going across/run? 5 is going across/ run so your answer is 3/5 If you have anymore questions just ask

2 is 12.5& of the number

Answers

Answer:

if you ment to say 2 is 12.5% of what number the answer would be 16

Step-by-step explanation:

Write down what you know with x as the number you need to find.

Of is always "multiply"

Choose another way to write 12.5%

2 =12.5% of x

So 2 = 0.125xx

x= 2 *over*0.125

x=16

Answer:

x=16

Step-by-step explanation:

Let the number be x.

if they say 12.5% of a number, this means that 12.5/100 *x which will be :

12.5/100x

make it an equation (a true one)

12.5/100x=2

divide.

2 divided by 12.5/100x would be

x=16!

Cheers, I hope you can understand it well!

From a collection of 124 poems, 36 are sonnets, 42 are odes, and 46 are free verse. A poem is
selected from the collection at random. Find the probability that it is a sonnet or an ode. Express
your answer to the nearest whole percent.
A 49 percent
B 63 percent
C 83 percent
D 77 percent

Answers

Answer:

63

Step-by-step explanation:

36 is approximately 30% of 124 and 42 is approximately 33% of 124, so 30 + 33 = 63

Answer:

Answer, B

Step-by-step explanation:

add the odes and sonnets, and find the percentage of 78/124 which is 62.9% rounded to 63%.

I reallY need help with these problems. if somebody could give me the answers that would be great

Answers

Answer:

∠AMC  = 75

Step-by-step explanation:

ΔABC,

∠C = 90°  ; ∠B = 30°

∠A + ∠B +∠C  = 180   {Angle sum property of triangle}

∠A + 30 + 90 = 180

       ∠A + 120 = 180

                 ∠A = 180 - 120

                 ∠A  = 60°

In ΔACM,

∠ACM = 90/2  =  45°         { CM is angle bisector}

∠ACM + ∠AMC +∠A =  180   {angle sum property}

   45 +  ∠AMC + 60 = 180

            ∠AMC + 105 = 180

                     ∠AMC = 180 - 105

∠AMC  = 75

 

Which of the following would be the slope of the line perpendicular to the line y=1/3x+3​

Answers

Answer:

Step-by-step explanation:

-3

perpendicular slope is the negative of the reciprocal

the reciprocal of 1/3 is 3

the opposite of 3 = -3

can u pls help me with this question ​

Answers

Answer: It would be B 9/50

Step-by-step explanation: if you take 3/7 and x it by 0.1 you get 0.04285714285 and then if you divide that by 5/21 you get 0.18 which equals 9/50 as a fraction

[tex]5 +1[/tex] x [tex]10[/tex] = ?

Answers

Answer:

60

Step-by-step explanation:

Put in Parentheses.

(5 + 1) x 10 =

Solve numbers inside parentheses.

5 + 1 = 6

Now we have 6 x 10.

6 x 10 = 60

What is 2 ( 14+3) times 12 divided by 2?

Answers

The answer is in the picture below
Hope this helps!!!

Answer:

Step-by-step explanation:

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