Solve the following pair of equations by cross - multiplication method.
ax + by = a – b
bx – ay = a + b
Given, pair of equations is
ax + by = a – b ⇒ ax + by –(a – b) = 0
bx – ay = a + b ⇒ bx –ay – (a + b) = 0
By cross - multiplication method, we have
On taking I and III ratio, we get
⇒ x = 1
On taking II and III ratio, we get
⇒ y = – 1
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