Question

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

$$\begin{gathered} a^{2}x+b^{2}y=c^2 \\ {b}^{2}x+a^{2}y=d^2 \end{gathered}$$

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

Consider the following for x

Now consider the following for y

Hence we get the value of and