Question

-3x-3y=3 and y=-5x-17

Answer 1

The solution is (-4,3)
-3x-3y=3
y=-5x-17
so find the y in the first equation in terms of x
-3x-3y=3
-3y=3x+3
y=-x-1
then set the two equations equal to each other
y=-x-1
y=-5x-17
-x-1=-5x-17
4x=-16
x=-4
now put the x into one of the equations
-3(-4)-3(y)=3
12-3y=3
-3y=-9
y=3
so the solution is (-4,3)
to check it, put the points into equations and see if they're correct
-3(-4)-3(3)=3
12-9=3
3=3 correct

3=-5(-4)-17
3=20-17
3=3 correct