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AnilSinghBora
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Solve the following pair of linear equations: (i) px + qy = p – q qx – py = p + q Q.7(1)

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Linear equations is the most important question of class 10th optional chapter of 3.7. Please help me for solving this question Solve the following pair of linear equations: (i) px + qy = p – q qx – py = p + q

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  1. Multiplying p to equation (1)  and q to equation (2), we get

    p2x + pqy = p2 − pq ………… (iii)

    q2x − pqy = pq + q2 ………… (iv)

    Adding equation (iii) and equation (iv),we get

    p2x + q2 x = p2  + q2

    (p2 + q2 ) x = p2 + q2

    x = (p2 + q2)/ p2 + q2 = 1

    From equation (i), we get

    p(1) + qy = p – q

    qy = p-q-p

    qy = -q

    y = -1

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