Question

question
solve for b and simplify your answer.
\\(\frac{4}{3}b = 10\\)
answer attempt 1 out of 3
b =
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Explanation:

Step1: Multiply both sides by 3/4

To isolate \( b \), we multiply both sides of the equation \(\frac{4}{3}b = 10\) by the reciprocal of \(\frac{4}{3}\), which is \(\frac{3}{4}\). So we have \(\frac{3}{4} \times \frac{4}{3}b=\frac{3}{4} \times 10\).

Step2: Simplify both sides

The left - hand side simplifies to \( b \) (since \(\frac{3}{4}\times\frac{4}{3} = 1\)). For the right - hand side, we calculate \(\frac{3\times10}{4}=\frac{30}{4}\), and then simplify \(\frac{30}{4}\) to \(\frac{15}{2}\) (or \(7.5\)).

Answer:

\(b = \frac{15}{2}\) (or \(b = 7.5\))