Y equals x-3 and y equals 3x-5 name where the two lines intersect?

Answer 1

y = x - 3

y = 3x - 5

Since the two expressions on the right are both equal to 'y', they're equal to each other.

x - 3 = 3x - 5

Subtract 'x' from each side:

-3 = 2x - 5

Add 5 to each side:

2 = 2x

Divide each side by 2:

x = 1

Return to the first original equation, and substitute (1) in place of 'x':

y = x - 3

y = 1 - 3 = -2

The point where the two lines intersect is (1, -2).