Question

What is the intersection of the lines given by y=-3x+5 and y=2x-6? Express your answer as an ordered pair.

Answer 1

Since both equations are set = y you can set them equal to each other and solve.
-3x + 5 = 2x -6
Subtract 2x from both sides.
-5x + 5 = -6
Subtract 5 from both sides
-5x = -11
Divide both sides by-5
x = 11/5
Substitute 11/5 in for x in either equation and solve for y.
y = -3(11/5) + 5
y = -33/5 + 5
y = -33/5 + 25/5
y = -8/5
(11/5, -8/5)