Question

Solve equations by using the substitution method.

x + 6/y = 6 

3x – 8/y = 5

Answer 1

Given: 

x + \(\frac{6}{y}\) = 6 …….. (1)

3x – \(\frac{8}{y}\) = 5 …….. (2) 

From equation (1) 

x = 6 – \(\frac{6}{y}\)

Substituting x = 6 –\(\frac{6}{y}\) in equation (2) we get

Substituting y = 2 in equation (1) we get

x + 6/2 = 6 ⇒ x + 3 = 6 

∴ x = 3 

∴ The solution is (3, 2)