Question

Where do the lines y = 3x + 5 and y = -2x + 10 intersect?

Answer 1

9514 1404 393

Answer:

(x, y) = (1, 8)

Explanation:

A graphing calculator quickly tells you the point of intersection.

__

You can equate the y-values and solve for x.

3x +5 = -2x +10

5x = 5 . . . . . . . . . add 2x-5

x = 1 . . . . . . . divide by 5

3·1 +5 = y = 8 . . . . substitute for x in the first equation

The point of intersection is (x, y) = (1, 8).