Answer:
y=-1 and x=-4
Step-by-step explanation:
2x+y=-9
and
2x-5y=-3
Multiply the second equation by -1, now we have
2x+y=-9
and
-2x+5y=3
Now you can add both sides of the equations and the x values will cancel, because they are opposites (2x and -2x)
2x+y-2x+5y=-9+3
6y=-6
y=-1
We now know y is -1, so we can substitute back into one of our original equations
2x+y=-9
2x+(-1)=-9
2x=-8
x=-4
y is -1 and x is -4
