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

ax – by = a² – b²

Question

Let us solve the following simultaneous linear equations in two variables by applying cross multiplication method.ax – by = a2 – b2

Philoid · Accepted Answer

⇒ bx + ay = 2ab (Multiplying both sides by ab)

⇒ bx + ay - 2ab = 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 and y = b