Find the solution to the system of equations. y=2x+3 and y=-3x+3

x = 0 and y = 3

Step-by-step explanation:

Using elimination method, we can solve for x and y in the simultaneous equation

y = 2x + 3 ... eqn 1

y = - 3x + 3 ... eqn 2

multiply equation 1 by 3 and equation 2 by 2, then we will have

(y = 2x + 3) * 3

(y = - 3x + 3) * 2

3y = 6x + 9 ... eqn 3

2y = - 6x + 6 ... eqn 4

Add eqn 3 and 4 together and we will eliminate x and have

5y = 15

Divide both sides by 5, and we will have

y = 3

To solve for x, substitute 3 for y in eqn 1

y = 2x + 3

3 = 2x + 3

collect like terms

3 - 3 = 2x

0 = 2x

Therefore x = 0