Verified answer

x-y = -4

x+4y = -9

5y = -5

y = -1

x = -5

x/4-y/4=(-1) is the same as x-y=-4 (if you multiply both sides by 4)

So your two equations are:

x-y=-4 and x+4y=-9 and you can eliminate the two from each other

x+4y=-9 (this is your second equation)

x-y=-4 (this is your first equation when multiplied by 4)

5y = -5 (subtract the bottom equation from the top, so the x cancels out, and you're left with 4y-(-y)=4y+y=5y, and -9-(-4)=-9+4=-5)

y = -1 and plug this back into either of the equations

x+4(-1) = -9

x-4=-9

x=-9+4=-5

So your two answers should x=-5 and y=-1.