Question

12. Solve the systems of linear equations using the substitution method.

x=y - 2
4y = x + 23

Answer 1

x=5 and y=7

Explanation:

x + 2 = y (equation 1)

x + 23 = 4y (equation 2)

(equation 2) - (equation 1)

This gives,21 = 3y

y = 21/3

y = 7.

Put y = 7 into equation 1 to find x

x + 2 = 7

x = 7 - 2

x = 5.