Q77. - Algebra 1

Question

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

Step-by-Step Solution

Answer

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

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:

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

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.