Q. 1 G3.8( 20 Votes )

# Solve each of the following pairs of equations by reducing them to a pair of linear equation.

Answer :

and

Let = p and = q

10p + 2q = 4 …I

15p – 5q = -2 …II

Multiply Eq. I by 5 and Eq. II by 2

50p + 10q = 20

__30p – 10q = -4__

80p = 16

p =

substitute value of p in eq. I

10 + 2q = 4

⇒ 2 + 2q = 4

⇒ 2q = 2

⇒ q = 1

But, ⇒ 5 = x + y …III

⇒ 1 = x – y ⇒ y = x – 1

Substitute value of y in eq. III

x + x – 1 = 5

⇒ 2x = 6

⇒ x = 3

∴ y = 3 – 1 = 2

x = 3 and y = 2

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