Q. 11

# Solve: 23x + 29y = 98, 29x + 23y = 110.

The given equations are 23x + 29y = 98, 29x + 23y = 110.

We know that the general form for a pair of linear equations in 2 variables x and y is a1x + b1y + c1 = 0

and a2x + b2y + c2 = 0.

Comparing with above equations,

we have a1 = 23, b1 = 29, c1 = - 98; a2 = 29, b2 = 23, c2 = - 110

We can solve by cross multiplication method using the formula

Substituting values in the formula, we get

and

x = 3 and y = 1

The solution is x = 3 and y = 1.

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