Question

Solve each of the following systems of equations by the method of cross-multiplication :

$$\begin{gathered} \frac{x}{a}+\frac{y}{b}=2 \\ ax-by=a^2-b^2 \end{gathered}$$

Answer 1

GIVEN:

To find: The solution of the systems of equation by the method of cross-multiplication:

Here we have the pair of simultaneous equation

By cross multiplication method we get

So for x we have

And

Hence we get the value of and