Question

Construct $3$ equations starting with $\mathrm{x}=3$

Answer 1

$3$ equations starting with $\mathrm{x}=3$

Step 1: First equation

$\mathrm{x}=3$

Multiply both sides by $10$

$10\mathrm{x}=30$

Adding $2$ on both sides

$$\begin{gathered} 10\mathrm{x}+2=30+2 \\ \Rightarrow 10\mathrm{x}+2=32 \end{gathered}$$

Step 2: Second equation

$\mathrm{x}=3$

Multiplying both side by $5$

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

Subtracting $3$ from both side

$5\mathrm{x}-3=12$

Step 3: Third equation

$\mathrm{x}=3$

Dividing both sides by $5$

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

Therefore, $3$ equations starting with $\mathrm{x}=3$ are

$10\mathrm{x}+2=32,$$5\mathrm{x}-3=12$ and $\frac{\mathrm{x}}{5}=\frac{3}{5}$