Question

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

$$\begin{gathered} \frac{5}{x+y}-\frac{2}{x-y}=-1 \\ \frac{15}{x+y}+\frac{7}{x-y}10, \end{gathered}$$

where x ≠ 0 and y ≠ 0

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

Rewriting the equation again

By cross multiplication method we get

And

We know that

Adding equation (3) and (4)

Substituting value of x in equation (3) we get

Hence we get the value ofand