2x-5y=11 and - 2x+3y=-9

For this sys of equations, like all, we first have to solve for y or x in either equation

In this case, lets solve for y in the 2nd equation

-2x+3y=9

add 2x to both sides

3y=9+2x

divide 3 on both sides

y=2/3 (x) + 3

now plug in y for the first equation

2x-5 (2/3x) + 3/11

simplify

-4/3 (x) + 3=11

subtract 3 from both sides

-4/3x=8

multiply 3/4 on both sides

x = - 6

now plug in x for either equation, lets do the first one again

2 (-6) - 5y=11

-5y-12=11

add twelve to both sides

-5y=23

divide

y=-23/5

your final answer would be

x=-6, y=-23/5