Question

solve using the elimination method. If the system has no solution or an infinite number of the solutions state this. -2x + 9y = 56, 9x -9y =0

Answer 1

-2x + 9y = 56, 9x -9y=0

In elimination, you basically put both equations into one big one, with everything on the left side of equal sign together and everything on the right together.

-2x + 9y +9x - 9y = 56 + 0

Now, collect like terms

7x = 56 (+9y-9y cancel each other out)
Solve for x. 56/7 = 8.

x=8.

Now to solve for Y, just put x into one of your given equations

9x - 9y = 0
9(8) - 9y=0 (move 9y over )
72 = 9y
8=y