Question

Find four solution of the given equation:

$x+2y=6$

Answer 1

Finding four solution for the equation $x+2y=6$:

If $x=2$ in equation $x+2y=6$

$\Rightarrow 2+2y=6$

$\Rightarrow y=\frac{6-2}{2}$

$\Rightarrow y=2$

Thus, $\left(2,2\right)$ is a solution of equation $x+2y=6$

If $x=4$in equation $x+2y=6$

$\Rightarrow 4+2y=6$

$\Rightarrow y=1$

Thus, $\left(4,1\right)$is a solution of equation$x+2y=6$

If $y=0$ in equation $x+2y=6$

$\Rightarrow x+2\left(0\right)=6$

$\Rightarrow x=6$

Thus, $\left(6,0\right)$is a solution of equation$x+2y=6$

If $y=3$ in equation $x+2y=6$

$\Rightarrow x+2\left(3\right)=6$

$\Rightarrow x=0$

Thus, $\left(0,3\right)$ is a solution of equation $x+2y=6$

Therefore, $\left(2,2\right),\left(4,1\right),\left(6,0\right),\left(0,3\right)$ are four solution of equation $x+2y=6$