Question

Solve for $x$ and $y$:$6x+3y=6xy$ and $2x+4y=5xy$

Answer 1

$6x+3y=6xy$ ; $2x+4y=5xy$

$\Rightarrow$ Divide by $3xy$ $\Rightarrow$; Divide by $xy$

$\frac{2}{y}+\frac{1}{x}=2$ ; $\frac{2}{y}+\frac{4}{x}=5$

$2$ and $1$

$\frac{3}{x}=3$

$\Rightarrow x=1$

$\therefore \frac{2}{y}+\frac{1}{1}=2$

$\Rightarrow y=2$

$x=1,y=2$ is the solution.