Question

at what point on the graph would equations -y=-x-3 and 4y=-x-8 intersect?

Answer 1

-y = -x - 3 --- multiply by -1 to make y positive
y = x + 3
now sub that into your other equation
4y = -x - 8
4(x + 3) = -x - 8
4x + 12 = -x - 8 --- add x to both sides
4x + x + 12 = -8 -- subtract 12 from both sides
4x + x = -8 - 12 -- combine like terms
5x = - 20 -- divide both sides by 5
x = -20/5
x = -4
now sub this into either equation to find y
-y = -x - 3
-y = -(-4) - 3
-y = 4 - 3
-y = 1
y = -1
check...
4y = -x - 8
4(-1) = -(-4) - 8
-4 = 4 - 8
-4 = -4 (correct)

x = -4 and y = -1 or (-4,-1)

Answer 2

Thank you that was very helpful.

Answer 3

glad to help :)