Question

Solve the equation. Check your solution.

$-2\mathrm{c}+6=-8$

Answer 1

Step 1 : Solve the inequality

We have,

$\Rightarrow -2\mathrm{c}+6=-8$

$\Rightarrow -2\mathrm{c}+6–6=-8–6$ [ Subtract $6$ from both sides ]

$\Rightarrow -2\mathrm{c}=-14$

$\Rightarrow \frac{-2\mathrm{c}}{-2}=\frac{-14}{2}$ [ Divide both sides by $-2$ ]

$\therefore \mathrm{c}=7$

Step 2 : Checking the solution

Check the solution by putting $\mathrm{c}=7$ in the given inequality;

$\Rightarrow -2\mathrm{c}+6=-8$

$$\begin{gathered} \Rightarrow -2\times 7+6=-8 \\ \Rightarrow -14+6=-8 \\ \Rightarrow -8=-8 \\ \Rightarrow \mathrm{LHS}=\mathrm{RHS} \end{gathered}$$

Hence, the required solution is $\mathrm{c}=7$