Question

Solve each of the following for $b$:

a.$2b+7=b+10$.

b.$3b-4=24-b$.

Short answer

a. The value of $b$is$3$.

b. The value of$b$is$7$.

Step-by-step solution

Part (a) step 1: Given Information

We need to find value of$b$.

Part (a) step 2: Simplify

$$\begin{gathered} 2b+7=b+10 \\ 2b-b=10-7 \\ b=3 \end{gathered}$$

Part (b) step 1: Given Information

We need to find value of$b$.

Part (b) step 2: Simplify

$$\begin{gathered} 3b-4=24-b \\ 3b+b=28 \\ b=\frac{28}{4} \\ b=7 \end{gathered}$$