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Solution


Q.

Find the values of x and y from the following pair of linear equations :

62x + 43y = 167

43x + 62y = 148

Ans.

(x = 2, y = 1)

62x + 43y = 167 …(i)

43x + 62y = 148 …(ii)

Adding (i) and (ii) and simplifying, we get x + y = 3 …(iii)

Subtracting (ii) from (i) and simplifying, we get x − y = 1 …(iv)

Solving (iii) and (iv) to get x = 2 and y = 1