Question

Write three solutions for given equation:

$x=0$

Answer 1

Finding the three solutions for the equation $x=0$:

Let the equation $x=0$ be written as;

$x+0.y=0$ ………$\left(i\right)$

Putting $x=0$ in equation $\left(i\right)$

$\Rightarrow 0+0.y=0$

$\Rightarrow 0=0$

Thus, $\left(0,0\right)$ is a solution of equation $\left(i\right)$

Putting $y=-1$ in equation $\left(i\right)$

$\Rightarrow x+0.\left(-1\right)=0$

$\Rightarrow x=0$

Thus, $\left(0,-1\right)$ is a solution of the equation $\left(i\right)$

Putting $y=2$ in equation $\left(i\right)$

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

$\Rightarrow x=0$

Thus, $\left(0,2\right)$ is a solution of the equation $\left(i\right)$

Therefore, $\left(0,0\right),\left(0,-1\right),\left(0,2\right)$ is three solutions of the equation $x=0$