Q1 of 40 Page 98

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


and

Let = p and = q


2p + 3q = 13 …I


5p – 4q = -2 …II


Multiply Eq. I by 4 and Eq. II by 3 and solve


8p + 12q = 52


15p – 12q = -6


23p = 46


P = 2


Substitute the value of p in Eq. I


2(2) + 3q = 13


⇒ 4 + 3q = 13


⇒ 3q = 9


⇒ q = 3


But, = p = 2 ⇒ x =


= q = 3 ⇒ y =


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