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x + 7y = 10; 3x - 2y = 7

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x + 7y = 10 ... (I) 3x - 2y = 7 .... (II) Let us write value of 'x' in terms of 'y' from equation (I) x = 10 - 7y .... (III) Substituting this value of 'x' in equation (II) ? 3 (10 - 7y) - 2y = 7 ? 30 - 21y - 2y = 7 ? 30 - 23y = 7 ? -23y = 7 - 30 ? - 23y = - 23 ? y = 1 Substituting y = 1 in equation (I) ? x + 7y = 10 ? x + 7(1) = 10 ? x = 10 - 7 ? x = 3 x = 3, y = 1 is the solution.
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