Question

Find two solutions for each of the following equations: $2x-5y=0$

Answer 1

Find the solutions for the given equation

Given equation, $2x-5y=0$.

Replace $x=1$ in $2x-5y=0$, we will get,

$$\begin{gathered} \Rightarrow 2\left(1\right)-5y=0 \\ \Rightarrow 5y=2 \\ \Rightarrow y=\frac{2}{5} \end{gathered}$$

Now, replace $x=2$ in $2x-5y=0$, we will get

$$\begin{gathered} \Rightarrow 2\left(2\right)-5y=0 \\ \Rightarrow 5y=4 \\ \Rightarrow y=\frac{4}{5} \end{gathered}$$

Therefore, the solutions for $2x-5y=0$ are $\left(1,\frac{2}{5}\right)$ and $\left(2,\frac{4}{5}\right)$.