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

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)