Solve the system of linear equations by elimination.

x + y = 7
5x + 2y = 8

(-2, 9)

Step-by-step explanation:

1) Multiply each term of the top equation by two.

2(x) + 2(y) = 2(7)

2x + 2y = 14

2) Use elimination to get rid of the y's

 2x + 2y = 14

-(5x + 2y = 8)

Translates to...

    2x + 2y = 14

+ (-5x - 2y = -8)

=  -3x = 6

3) Solve for x by dividing each side of the equation by -3.

x = -2

4) Plug in x to find the y-value

x + y = 7

-2 + y = 7

-2 + 2 + y = 7 + 2

y = 9

I hope this helps!

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step-by-step explanation: