Question

1. Solve the system of equations by substitution:
y = x - 2
4x – 3y = 11

Answer 1

x = 5

y = 3

Explanation:

y = x - 2

4x - 3y = 11

substitute y in the second equation with x - 2

4x - 3(x - 2) = 11

open the parenthesis

4x - 3x + 6 = 11

x + 6 = 11

subtract 6 from both sides of the equation

x + 6 - 6 = 11 - 6

x = 5

now substitute x for 5 in the original equation.

y = x - 2

y = 5 - 2

y = 3