Solve by elimination

Question

8x-9y=8.5
7y-2x=-4.5

Answer 1

Given
8X - 9Y = 8.5
7Y - 2X = 4.5
Rearrange 2nd Eq.
8X - 9Y = 8.5
-2X + 7Y = 4.5
Multiply 2nd Eq. by 4:
8X - 9Y = 8.5
-8X +28Y = 18
Add the 2 Eq.
19Y = 26.5
Solve for Y.
Y = 26.5/19 = 1.39
-2X +7(1.39) = 4.5, Solve for X:
X = 2.62