Question

Construct two equations having solution $\text{x = -2}$

Answer 1

Step 1: Constructing one equation with solution $\text{x = -2}$

By linear inequalities, we know that if we perform the same operation on both sides of any equation then equation remains same.

Let's multiply with $"3"$ on both sides of equation, we get;

$$\begin{gathered} 3\times x=-2\times 3 \\ \Rightarrow 3x=-6 \\ \Rightarrow 3x+6=0 \end{gathered}$$

Step 2: Constructing second equation with solution $\text{x = -2}$

Let's multiply with $"10"$ on both sides of equation, we get;

$$\begin{gathered} 10\times x=-2\times 10 \\ \Rightarrow 10x=-20 \\ \Rightarrow 10x+20=0 \end{gathered}$$

Hence, the required equations are $3x+6=0and10x+20=0.$

Note : Answer may vary.