(Q2).Solve each pair of equations by using the substitution method.

3x – 5y = -1

x – y = -1

Given: 3x – 5y = -1 ……. (1)

x – y = -1 …….. (2)

From equation (2), x – y = – 1

x = – 1

Substituting x = – in equation (1)

we get

3 ( – ) – 5y = – 1

⇒ 3 – – 5y = – 1

⇒ – y = – 1 +

⇒ y = –

⇒ y = -

Substituting y = – in equation (1) we get

3x – 5 (- ) = -1

3x + = – 1

3x = – 1 –

x =
-
3
 = -.

∴ The solution is (-, -)