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Solve the following pair of linear equations: px + qy = p − q, qx − py = p + q - Mathematics

Solve the following pair of linear equations: px + qy = p − q, qx − py = p + q

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Solution

px + qy = p − q … (1)

qx − py = p + … (2)

Multiplying equation (1) by p and equation (2) by q, we obtain

p2x + pqy = p2 − pq … (3)

q2x − pqy = pq + q2 … (4)

Adding equations (3) and (4), we obtain

p2x + q2 p2 + q2

(p2 + q2x = p2 + q2

`x= (p^2+q^2)/(p^2+q^2) = 1`

From equation (1), we obtain

p (1) + qy = p − q

qy = − q

y = − 1

  Is there an error in this question or solution?
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APPEARS IN

NCERT Class 10 Maths
Chapter 3 Pair of Linear Equations in Two Variables
Exercise 3.7 | Q 7.1 | Page 68
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