Question

What are the coordinates of point of intersection of y=x+3 and y=3x-3?

Answer 1

Correct option is

D

(0, 0)

Form the graph, we can see that solution is (0,0).

or

The point of intersection of lines y = 3x and x = 3y must satisfies both the equation.

From the options (0,0) satisfies both the equations, hence the point of intersection of given lines is at origin i.e. (0,0).

Answer 2

Explanation:

At the point of intersection, x+3 = 3x-3

6=2x

x = 3

y = x+3 = 6