Question

Construct $3$ equations starting with the solution:

$x=3$

Answer 1

We have, $x=3$

Multiply both sides by $5$

$$\begin{gathered} 5\times x=3\times 5 \\ \Rightarrow 5x=15 \end{gathered}$$

Adding $3$ on both sides

$$\begin{gathered} 5x+3=15+3 \\ \Rightarrow 5x+3=18 \end{gathered}$$

Again, for $x=3$

Multiplying both sides by $10$

$$\begin{gathered} 10\times x=3\times 10 \\ \Rightarrow 10x=30 \end{gathered}$$

Subtracting $3$ from both sides

$$\begin{gathered} 10x-3=30-3 \\ \Rightarrow 10x-3=27 \end{gathered}$$

Again, for $x=3$

Dividing both sides by $5$

$\frac{x}{5}=\frac{3}{5}$

Hence, the $3$ equations can be: $5x+3=18$, $10x-3=27$ and $\frac{x}{5}=\frac{3}{5}$.