Question

Discuss why $\frac{2}{3}b=16$and $48=2c$have the same solution.

Short answer

$\frac{2}{3}b=16$and $48=2c$ have the same solution as $24$.

Step-by-step solution

Step-1. Write the given information.

The given equation are $\frac{2}{3}b=16\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}and\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}48=2c$.

Step-2. Calculation.

Consider first equation:

$\begin{array}{l}\frac{2}{3}b=16\\ 2b=16\left(3\right)\\ 2b=48\\ b=\frac{48}{2}\\ b=24\\ \text{Considerthesecondequation:}\\ 48=2c\\ 2c=48\\ c=\frac{48}{2}\\ c=24\end{array}$

Step-3. Comparing results.

Since the solutions of both the equations is $24$.

Thus, we can say that $\frac{2}{3}b=16$and $48=2c$have the same solution.