Question

solve each system by substitution.
-2x-3y=-9
2x-2y=4

Answer 1

x = 15
y = 13

Answer 2

Alright, we have to get y by itself on one equation, let's do
2x-2y=4
-2x -2x Subtract 2x from both sides to get y by itself.

-2y=4 - 2x
/-2 /-2 /-2 Divide by -2 from both sides to fully get y by itself.

now we know that y=-2+x
So we can fit that into y's spot on the other equation
-2x-3y=-9

-2x-3(-2+x)=-9
Distribute -3, so -3(-2) and (-3)(x)

-2x+6-3x=-9 <Now we've got like terms, add them together

-5x+6=-9
-6 -6 Subtract 6 from both sides
-5x=-15
/-5 /-5 Divide by -5 on both sides

x=3

Answer 3

Then to find out what y=, you just fit x into the problem, so
2x-2y=4

3(3) -2y=4

9-2y=4
+9 +9

-2y=4
/-2 /-2

y=-2

Answer 4

thanks ess, that took a while to write out, lol.

Answer 5

lol i can tell.