Question

Solve each equation. Check your solution.

$-\frac{5}{7}=y-2$

Short answer

The required solution is $y=\frac{9}{7}$.

Step-by-step solution

Step 1. Write the given information.

The given equation is: $-\frac{5}{7}=y-2$.

Step 2. Calculation.

Consider the given equation,

$$\begin{gathered} -\frac{5}{7}=y-2 \\ y=-\frac{5}{7}+2 \\ y=\frac{-5+14}{7} \\ y=\frac{9}{7} \end{gathered}$$

Step 3. Checking solution.

Substitute $y=\frac{9}{7}$in the given equation, we get

$$\begin{gathered} -\frac{5}{7}=y-2 \\ -\frac{5}{7}=\frac{9}{7}-2 \\ -\frac{5}{7}=\frac{9-14}{7} \\ -\frac{5}{7}=-\frac{5}{7} \end{gathered}$$

Hence, proved.