# Use the linear combination method to solve the system of equations. Explain each step of your solution 3x - 8y= 7 x + 2y= -7?

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- llafferLv 72 weeks ago
We used to call this "elimination method". You want to get one of your variables to have opposite coefficients in each equation so when you add the equations together it cancels out one of the variables:

3x - 8y = 7

x + 2y = -7

I'll multiply the second equation by 4 so the coefficients of y become opposites:

3x - 8y = 7

4x + 8y = -28

-------------------- Add the equations together to get:

7x = -21

Now we can solve for x:

x = -3

Now we can substitute this value into either equation and solve for y:

x + 2y = -7

-3 + 2y = -7

2y = -4

y = -2

The solution to your system of equations is:

x = -3 and y = -2

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