Question

Solve the equation. Check your solution.

$\mathrm{v}-\frac{5}{6}=\frac{-7}{8}$

Answer 1

Step 1 : Solve the equation

We have,

$\Rightarrow \mathrm{v}-\frac{5}{6}=\frac{-7}{8}$

$\Rightarrow \mathrm{v}–\frac{5}{6}+\frac{5}{6}=\frac{-7}{8}+\frac{5}{6}$ [ Add $\frac{5}{6}$ to both sides ]

$$\begin{gathered} \Rightarrow \mathrm{v}=\frac{(-7\times 3)+(5\times 4)}{24} \\ \Rightarrow \mathrm{v}=\frac{-21+20}{24} \\ \Rightarrow \mathrm{v}=\frac{-1}{24} \end{gathered}$$

Step 2 : Checking the solution

Check the solution by putting $\mathrm{v}=\frac{-1}{24}$ , in the given equation

$$\begin{gathered} \Rightarrow \frac{-1}{24}–\frac{5}{6}=\frac{-7}{8} \\ \Rightarrow \frac{-1-(5\times 4)}{24}=\frac{-7}{8} \\ \Rightarrow \frac{-1-20}{24}=\frac{-7}{8} \\ \Rightarrow \frac{-21}{24}=\frac{-7}{8} \\ \Rightarrow \frac{-7}{8}=\frac{-7}{8} \\ \Rightarrow \mathrm{LHS}=\mathrm{RHS} \end{gathered}$$

Hence, the required solution is $\mathrm{v}=\frac{-1}{24}$