Solve the simultaneous equations 2x−2x 2 x − 2 x = 2, 4x+3y 4 x + 3 y = 10

Solve the simultaneous equations $\frac{2}{x}-\frac{2}{x}$ = 2, $\frac{4}{x}+\frac{3}{y}$ = 10

Answer Details

$\frac{2}{x}-\frac{2}{x}$ = 2.....(1)
$\frac{4}{x}+\frac{3}{y}$ = 10
$\frac{6}{x}$ = 12 $\to$ x = $\frac{6}{12}$
x = $\frac{1}{2}$
put x = $\frac{1}{2}$ in equation (i)
= 4 - $\frac{3}{y}$ = 2
= 4 - 2
= $\frac{3}{y}$
therefore y = $\frac{3}{2}$