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

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

Answer»

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.

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