Question

Solve for x and y by cross-multiplication :
(i) px + qy = p - q, qx - py = p +9
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Answer 1

Answer:

Step-by-step explanation:

px+qy=p−q→(1)  

qx−py=p+q→(2)

Applying cross-multiplication method,

x−qp−q2−p2+pq=y−pq+q2+p2+pq=1−p2−q2

⇒x−q2−p2=1−p2−q2

⇒x=−q2−p2−q2−p2=1

⇒yq2+p2=1−p2−q2

⇒y=−(−q2−p2)−q2−p2=−1

∴x=1andy=−1