Question

Using the elimination method, what is the solution of the system? Show your work.
5x+6y=17
-10x-9y=-43
So, I found the y-coord of the solution, but I'm having trouble finding the x-coord.
(x,20)
10x+12y=34
-10x-9y=-43

Answer 1

10x+12y=34 (Let this be Equation A)
-10x-9y=-43 (Let this be Equation B)

A+B:
10x+12y+(-10x-9y)=34+(-43)
10x+12y-10x-9y=34-43
12y-9y=9
3y=9
y=3

Answer 2

So now I input y into the original equation and solve for x?

Answer 3

yep!

Answer 4

Thank you!