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50 POINTS!! WILL MARK BRAINLIEST!! SHOW ALL WORK!!
Use the linear combination method to solve the system of equations. Explain each step of your solution. If steps are not explained, you will not receive credit for that step.
2x+9y= -26
-3x-7y=13

50 POINTS WILL MARK BRAINLIEST SHOW ALL WORK Use the linear combination method to solve the system of equations Explain each step of your solution If steps are class=

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wegnerkolmp2741o

Answer:

x=5, y=-4

Step-by-step explanation:

2x+9y = -26

-3x-7y = 13

Multiply the first equation by 3

3(2x+9y = -26)

6x +27y = -78

Multiply the second equation by 2

2(-3x-7y = 13)

-6x -14y = 26

Add these two equations together

6x +27y = -78

-6x -14y = 26

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

13y = -52

Divide by 13

13y/13 = -52/13

y = -4

Now we need to find x

2x+9y = -26

2x+9(-4) = -26

2x-36=-26

Add 36 to each side

2x-36+36 = -26+36

2x=10

Divide by 2

2x/2 =10/2

x=5

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