Question

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

$$\begin{gathered} \frac{2}{x}+\frac{3}{y}=13 \\ \frac{5}{x}-\frac{4}{y}=-2 \end{gathered}$$

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 from eq. (1) and eq. (2)

And

We know that

Hence we get the value of and