Solve the following pair of equations by cross - multiplication method.
x – y = a + b
ax + by = a2 – b2
Given, pair of equations is
x – y = a + b ⇒ x – y –(a + b) = 0
ax + by = a2 –b2⇒ ax + by – (a2 –b2 ) = 0
By cross – multiplication method, we have
On taking I and III ratio, we get
⇒ x = a
On taking II and III ratio, we get
⇒ y = – b
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