SOLUTION: 2.how can i solve this system of equation by substitution -7x-2y=-13,x-2y=11? pls help me..

Question 325289: 2.how can i solve this system of equation by substitution -7x-2y=-13,x-2y=11?
pls help me..
Found 2 solutions by jim_thompson5910, tinbar:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the second equation.

Add 2y to both sides.

Move back to the first equation.

Plug in

Distribute.

Combine like terms on the left side.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

Go back to the previously isolated equation.

Plug in

Multiply

Add

So the solutions are and which form the ordered pair (3,-4)
Answer by tinbar(133) (Show Source): You can put this solution on YOUR website!
from the second statement u can isolate x to get x=11+2y. we will use the right side of this equation to sub into the first equation's x variable.
-7(11+2y)-2y=-13
-77-14y-2y = -13
-16y=64
y=-4
use this value into either equation 1 or 2 to get x. using equation 2 will be easier so since we already know x=11+2y, x=11+2(-4), x=11-8, x=3
check:
-7(3)-2(-4)=-21+8 = -13, as expected
and 3-2(-4)=3+8=11, as expected
therefore x=3, y=-4
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