Question

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

$$\begin{gathered} \frac{a^2}{x}-\frac{b^2}{y}=0 \\ \frac{a^{2}b}{x}+\frac{b^{2}a}{y}=a+b,x,y\ne 0 \end{gathered}$$

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

Let

Rewriting equations

Now, by cross multiplication method we get

For u consider the following

For y consider

We know that

Now

Hence we get the value of and