Solve the system of equations: y=4x-3, y=-2x+9

y = 5

x = 2

Step-by-step explanation:

y = 4x - 3 ... (1)

y = - 2x + 9 ... (2)

Multiply equation (2) by 2

It becomes;

2y = - 4x + 18 ... (3)

Add equation (3) and (1)

It becomes;

3y = 15

y = 5.

Substitute y = 5 in equation (1)

It becomes;

5 = 4x - 3

Collecting like terms:

4x = 5 + 3

4x = 8

x = 8/4

x = 2