Q11 of 92 Page 77

Let us solve the following simultaneous linear equations in two variables by applying cross multiplication method.

x – y = 2a


ax + by = a2 + b2

x - y - 2a = 0


ax + by - (a2 + b2) = 0



To solve the equation by cross multiplication method, we use:



Putting the values, we get:




So, and


⇒ x = (a + b) and y = (b - a)


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