Answer:
(-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.
[tex]\frac{-3x}{-3} = \frac{6}{-3}[/tex]
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!
