Question

Solve x + 2y = 5 and 2x – y = 0 using any non-graphical method.

Answer 1

x + 2y = 5 …………… (1) 

2x-y = 0 ………… (2) 

2x = y ⇒ x = \(\frac{y}{2}\)

This value substitute in equation (1)

\(\frac{y}{2}\) + 2y = 5 ⇒ y + 4y = 10 

5y = 10 ⇒ y = 2 

This value substitute in equation (2) 

2x – 2 = 0 ⇒ 2x = 2 ⇒ x = 1 

∴ x = 1, y = 2.