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

Question

Philoid · Accepted Answer

⇒ 4(x + 2) + 7(y - x) = 28(2x - 8) (Multiplying both sides by 28)

⇒ 59x - 7y - 232 = 0

⇒ (2y - 3x) + 6y = 3(3x + 4) (Multiplying both sides by 3)

⇒ 12x - 8y + 12 = 0

⇒ 3x - 2y + 3 = 0

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

Putting the values, we get:

So, and

⇒ x = 5 and y = 9