Question

Find the solutions of the form $x=a$, $y=0$ and $x=0$, $y=b$ for the following equations.
$2x+5y=10$ and $2x+3y=6$.

Answer 1

the given equations are $2x+5y=\mathrm{10.....}\left(i\right)$

$2x+3y=\mathrm{6.....}\left(ii\right)$

we need solution of form $x=a,y=0$

substitute $y=0$ in (i) and (ii)

$\Rightarrow 2x=10$ and $2x=6$

$\Rightarrow x=5$ and $x=3$

which is not possible. so,there is no solution of the form $x=a,y=$

we need solution of form $x=0,y=b$.

$5y=10,3y=6$.

$\Rightarrow y=2$

$\therefore$ the solution of the form $x=0$ , $y=b$ is

$x=0$ , $y=2.$