Question

Solve the following systems of equations:

$$\begin{gathered} \frac{2}{x}+\frac{5}{y}=1 \\ \frac{60}{x}+\frac{40}{y}=19,x\ne 0,y\ne 0 \end{gathered}$$

Answer 1

The given equations are:

Multiply equation by and subtract (ii) from equation (i), we get

Put the value of in equation, we get

Hence the value of and .