Solve the system of equations 4x – 5y = –6 and -6x + 7y = 12 by
combining the equations.

Answers

Answer 1

Answer:

x=-9, y=-6. (-9, -6).

Step-by-step explanation:

4x-5y=-6

-6x+7y=12

----------------

6(4x-5y)=6(-6)

4(-6x+7y)=4(12)

-----------------------

24x-30y=-36

-24x+28y=48

-----------------------

-2y=12

y=12/-2

y=-6

4x-5(-6)=-6

4x+30=-6

4x=-6-30

4x=-36

x=-36/4

x=-9


Related Questions

which quadratic inequality does the graph below represent?
y> or equal to x^2-3.
y< or equal to x^2+3.
y< or equal to x^2-3.
y> or equal to x^2+3​

Answers

Answer:

y< or equal to x^2-3.

I hope it helps.

When solving an equation, Gabrielle's first step is shown below. Which property
justifies Gabrielle's first step?

Original Equation:
3(x + -3) = -1

First Step:
3x + -9= -1

1. associative property of multiplication

2. division property of equality
distributive property of multiplication over addition

3. subtraction property of equality

Answers

Answer:

i think 2. division property of equality

distributive property of multiplication over addition

ANSWER ASAP PLS

A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
A y=-3x+1
B x = 1/2x +7
C y=-2x-8
D y = 2x + 16

Answers

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

= (2-4)/(-2+6)

= -2/4

= -1/2

now

y=mx+c

4=-1/2(-6)+c (you can take any x and y from the given two points. I took from (-6,4)

or,4= 3+c

therefore, c=1

now

y=mx+c

y= -1/2x+1

or, y = 1-x/2

Which equations are true equations?


Select all correct answers.

24/2^2=50−62−8


56÷8+32=2⋅23


82−52=42−7


39−3⋅6=6⋅104+4

Answers

Answer: 24/2^2=50−62−8

Step-by-step explanation:

The equations which is true equation is 24/2² = 50−6²−8.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

1. 24/2² = 50−6²−8

LHS = 24/2² = 24/4 = 6

RHS = 50−6²−8 = 6

2. 56÷8+32=2⋅23

LHS = 56÷8+32 = 7 + 32 = 39

RHS = 2⋅23 = 46

3. 8²−5² =4²−7

LHS = 8²−5² = 39

RHS = 4²−7 = 21

4. 39−3⋅6=6⋅104+4

LHS = 39−3⋅6 = 35.4

RHS = 6⋅104+4 = 528

Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.

Learn more about Equation here:

https://brainly.com/question/29316263

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FRUIT Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.

Answers

Answer:

Step-by-step explanation:

8 lbs of apples on the x-intercept

10lbs of peaches on y-intercept

Lincoln middle school had a canned food drive. The 6th grader brought in 5.75

Answers

So the Lincoln middle school will have +5.75 pounds or ounces of ffod

What is -0.4 times -5/6?

Answers

Answer:

0.3

Step-by-step explanation:

hopes this helps

It’s 1/30 because -0.4 x -5/6 equals to -2/5 x -5/6 which leaves you with 1/30

If 58 out of 100 students in a school are boys. Write decimal expressions for the part of the school that consists of boys.

(Hint: 58 is what percentage of 100?)

Answers

Answer:

58 out of 100 is

58/100

as a decmil that is

0.58

Hope That Helps!!!

Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C?​

Answers

Answer:

According to the properties of a triangle, all internal angles of a triangle must add up to 180 degrees.

Since we know A and B are 55 degrees and 30 degrees respectively, C = 180-55-30 = 95 degrees.

Thus, the measure of angle C is 95 degrees.

FACTORIZE :-
3x³y( x-3y ) - 7x²y² ( x-3y )​

Answers

3x³y(x - 3y) - 7x²y² (x - 3y)= (x - 3y)(3x³y - 7x²y²)= (x - 3y)[x²y(3x - 7)]= x²y(3x - 7)(x - 3y)

Answer:

x²y(3x - 7)(x - 3y)

Hope you could get an idea from here.

Doubt clarification - use comment section.

PLEASE help



520
38°
220°
X = degrees

Answers

Step-by-step explanation:

by complete angle

x+38+52+220=360

x+310=360

x=360-310

x=50

Does the point (4, 8) satisfy the equation y = 2x?

Answers

Answer:

Yes

Step-by-step explanation:

You can answer this question by putting in the x-value [the 4 in (4, 8)] in for the x variable to see if you get the y-value [the 8 in (4, 8)] as the solution.

y=2(4)

y=8

Since 8 was the answer then yes, (4, 8) satisfies the equation y = 2x.

Explanation of approximation, decimal place, significant figure

Answers

Answer:

im not an expert in math but i'll do my best:

1. an approximation is something that is almost, but not exactly something. for example, 5.02 is approximately 5. it's not EXACTLY 5, but it's around 5.

2. decimal place refers to the position of numbers after the decimal point. let's take the decimal number 7.89 for example. there are 2 numbers after the decimal point, which is 8 and 9. hence we say that 7.89 has 2 decimal places.

3. significant figure is kind of hard to explain, so i'll jump into the example straight away.

5.874 to 3 significant figures is 5.87. what i did was count 3 digits: starting from 5 to 7. to round to 3 significant figures, i look at the 4th digit, which is 4 in this case. if it's smaller than 5, i ignore everything past the digit 7, and leave the final answer as 5.87.

if the 4th digit is greater than or equal to 5, i add 1 to the 3rd digit THEN leave out all the numbers after the 3rd digit. (if this were the case, the answer would be 5.88)

lets take a trickier example, 0.064591

in this case i cannot start counting 3 digits starting from 0. i have to count starting from the number 6. the concept in this case is that the 1st significant figure cannot be a 0. in this case the answer to 3 significant figures would be 0.0646.

however, 0 can be a significant figure if it's after another number. for instance 0.90672

the 0 after the 9 would count as a significant figure because it's not the 1st significant figure in the number. however the 0 before the 9 would NOT count as one because 0 cannot be the 1st significant figure. the answer to 3 significant figures would be 0.907.

sorry this was so lengthy, i just hope this answers your question on what these are and how they work. good luck!

86,400 seconds into day.please ​

Answers

[tex]\underline\mathtt\colorbox{gold}{1 day}[/tex]

Step-by-step explanation:

1440 minutes, 24 hours or 1 day

Its easy to check - - - Divide 86400 by 60(to make into minutes) =1440 minFurther. Divide 1440 by 60 (to make into hours) =24 hrsNow who doesn't know that 24 hours is 1 day?

Work out m and c for the line: 2 y + 3 x = − 5

Answers

Answer:

m is -3/2

c is -5/2

Step-by-step explanation:

The standard linear equation is given by;

[tex]{ \tt{y = mx + c}}[/tex]

» m is the slope and c is the y-intercept

Then, our slope is;

[tex] { \tt{2y + 3x = - 5 }} \\ \\ { \tt{2y = - 3x- 5}} \\ \\ { \tt{y = - \frac{3}{2}x - \frac{5}{2} }}[/tex]

I got this homework packet , I did some of the questions but graphs are what I’m stuck on the most .

Answers

Answer:

For the first picture, I think it is C and the second one should be A.

Step-by-step explanation:

You use vertical lines and if it hits it multiple times it is not a function. Like if it hits two dots or something it is not a function. I hope that make sense, let me know if it doesn't.

A square with an area of 144cm is reduced by a factor of 1/3. How long are the new sides of the square?

Answers

Answer:

9.797. . .

Step-by-step explanation:

2/3 of 144 is 96

[tex]\sqrt{96} = 9.797...[/tex]

How onto add, subtract, multiply, and divide decimals

Answers

Answer:

Hope this helps. x

What is the value of y?

Answers

Answer : i believe 100 X is 13 Z is 12

Step-by-step explanation:

sorry if im wrong

which value of the variable m satisfies the equation 20 = -2(4m - 5)

Answers

Answer:

m = - 1.25

Step-by-step explanation:

20 = - 2(4m - 5) ← divide both sides by - 2

- 10 = 4m - 5 ( add 5 to both sides )

- 5 = 4m ( divide both sides by 4 )

- [tex]\frac{5}{4}[/tex] = m , that is

m = - 1.25

Select all the equations that have {7} as its solution set. 65−2x=6x+9 9−x=14x 3+4x=5x−4 x2+1=8x−5

Answers

Answer:

the answer is this hope it helps im not sure if its all right good luck.

Step-by-step explanation:

A. 65-2x=6x+9

B. 9-x=14x

C. 3+4x=5x-4

d is wrong

The first and third equations have {7} as their solution set.

What is an equation?

It is a mathematical statement that is made up of two expressions connected by an equal sign.

The first equation is

65−2x=6x+9

Rearranging the above equation gives

8x = 65-9 = 56

i.e x = 7

Consider the second equation,

9−x=14x

i.e x = 9 / 15 = 0.6

The third equation is:

3+4x = 5x−4

i.e x = 7

The last equation is

x^2+1 = 8x−5

Its solution is not equal to 7.

As a result of the preceding equations, we can conclude that only the first and third equations have "7" as their solution set.

To learn more about equation, use the link given below:

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the sum of 2 integers is 61 and their difference is 29.

Answers

Answer:

16 and 45

Step-by-step explanation:

Just use guess and check, start with a number too low like 10+39=49. Then go up until you find the number or until you go over.

How many 1/2 -yard lengths are in 1 yard?

Answers

If asking how many 1/2 a yard(s) are in a whole yard your answer is 2, because 1/2 + 1/2 = 1

Without doing any calculations, is positive or negative?

Explain your reasoning.

Answers

Is WHAT positive or negative?

Answer:

what is positive or negative???

Katherine Johnson is best known for her work on ________.

Answers

Answer:

Pretty sure she was best known for calculating flight paths of spacecraft.

4x+y=10 ( ?,-6)

Find the missing value. Show all work.

Answers

Answer:

(4 , -6) x = 4.

Step-by-step explanation:

Note that in a pair under ( X , Y) always consists of X as it's 1st element and Y as it's second element.

so now we know that ( ? , -6) has an X value which is unknown.

inorder to find X you'll simply need to use the Y value you're given which is Y = -6 from ( ? , -6)

now plot the y value into the equation

4X + Y = 10 , Y = -6

4X + (-6) = 10

4X + - 6 = 10 ...... we know that A + - B = A - B

4X - 6 = 10

now take -6 to the right side

when -6 is taken to the right side, it changes to +6

and so ..

4X = 10 + 6

4X = 16

now divide both sides by 4 to find X

4X / 4 = 16 / 4

4 the coefficient of X which is 4 cancels with out denominator which is now 4

X = 16 / 4

16 ÷ 4 = 4.

Write an integer for each situation
1. A deposit of $40
2. A loss of 20 pounds

Answers

1.) +40
2.) -20

1.) A positive increase occurs; the rise of a value.

2.) A negative decrease occurs; a loss of a value.

Solve by whatever method you would prefer. (Leave answers as improper fractions) 3x+2y=-10 2x-5y=3 (Show your work (Brainliest)

Answers

Answer:

y = -29/19  and x = -44/19

Step-by-step explanation:

3x + 2y = -10    multiply by -2  ⇔    -6x -  4y = 20

2x - 5y = 3       multiply by 3   ⇔      6x - 15y = 9    

Add the two equation                             -19y = 29

                                                                       y =  -29/19

Use equation one and solve for x

3x + 2(-29/19) = -10

3x - 58/19 = -10

3x = -10 + 58/19

3x = -190/19 + 58/19

3x = (-190 + 58)/19

  3x = -132/19

    x =  - 132/ 19 ÷3                           [tex]\frac{-132}{19} (\frac{1}{3} ) = \frac{-44}{19}[/tex]

    x =  -44/19

Can someone answer number 9 for and tell me if the others are correct i have a 64% in geometry trying to raise grade up to alteast 70%

Answers

Answer:

  5, 6, 7, 8: correct

  9: the Hi.nge theorem does not apply

Step-by-step explanation:

The Hi.nge theorem says that the side opposite the angle between two pairs of congruent sides is longer if the angle is larger. This theorem is applicable to problems 5-8, and your application is correct.

__

9) The Hi.nge theorem does not apply. The marked angles are not between the congruent sides. There is no necessary relation between the marked angles and the angles that are between the congruent sides, so no conclusion can be drawn regarding the relative lengths of AB and CD.

Triangles â–łABC and â–łDFG are similar. The lengths of the two corresponding sides are 1. 4m , and 56 cm. What is the ratio of the perimeters of these triangles ?.

Answers

Answer:

  5 : 2

Step-by-step explanation:

The ratio of perimeters of similar triangles is the same as the ratio of any pair of corresponding sides. That ratio is given as ...

  1.4 m : 56 cm = 140 cm : 56 cm = 5 : 2

The ratio of the perimeters of the triangles is 5 : 2.

_____

As a unit ratio, it is 2.5 : 1, or 2.5.

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