System of equations

3x-2y=8

-2x+5y=-9

x=

y=

The answer to your question is x=1

And y=4

2y = 3x - 8

y = 3/2x - 4

Work

-2x + 5 (3/2x - 4) = - 9

-2x + 15/2x - 20 (+20) = - 9 (+20)

-4/2x + 15/2x = 11

11/2x * (2/11) = 11 (2/11)

x = 2

3 (2) - 2y = 8

6 (-6) - 2y = 8 (-6)

-2y = 2

y = - 1

final answer:

x = 2

y = - 1