7x + 2y = 2
2x - y = 10
2y = - 7x + 2
- y = - 2x + 10
2y = -7x + 2
y = 2x - 10
[tex] y=\frac{-7x+2}{2} [/tex]
y= 2x - 10
y = -3.5x + 1
y = 2x - 10
Now, let's find "x" first by doing a substituion !
2x - 10 = - 3.5x + 1
y = 2x - 10
2x + 3.5x = 1 + 10
y = 2x - 10
5.5x = 11
y= 2x - 10
[tex]x = \frac{11}{5.5}=2 [/tex]
y= 2*2 - 10 = 4 - 10 = -6
In short, the answer would be : y = -6 (Option B).
Hope this helps !
Photon
