SOLUTION: Solve the following system by the method of your choice: 5x-y=-11 2x +6y=2

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Question 170466: Solve the following system by the method of your choice:
5x-y=-11
2x +6y=2
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!
5x-y=-11, EQN 1
2x+%2B6y=2, EQN 2
By Substitution:
On EQN 1, y=5x%2B11, EQN 3, subst in EQN 2
2x%2B6%285x%2B11%29=2
2x%2B30x%2B66=2, combine similar terms
32x=2-66=-64 ---> cross%2832%29x%2Fcross%2832%29=cross%28-64%292%2Fcross%2832%29
highlight%28x=-2%29
Subst. in EQn 3:
y=5%28-2%29%2B11=-10%2B11
highlight%28y=1%29
See graph:
drawing%28300%2C300%2C-5%2C5%2C-5%2C12%2Cgrid%281%29%2Cgraph%28300%2C300%2C-5%2C5%2C-5%2C12%2C5x%2B11%2C%28-1%2F3%29x%2B%281%2F3%29%29%2Cblue%28circle%28-2%2C1%2C.15%29%29%29 ----> see point of intersection (-2,1), EQN 1 >>>Red Line, EQN 2>>>>Green Line
.
Thank you,
Jojo