Find the solution to the system of equations.

y = 2x + 3

y = - 3x + 3

(0, 3)

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = - 3x + 3 → (2)

Since both equations express y in terms of x we can equate them, that is

2x + 3 = - 3x + 3 (add 3x to both sides)

5x + 3 = 3 (subtract 3 from both sides)

5x = 0 ⇒ x = 0

Substitute x = 0 into (1)

y = 0 + 3 = 3

Solution is (0, 3)