Question

solve for b.
\\(\frac{3}{2}b = 19\\)
\\(b = \square\\)

Explanation:

Step1: Multiply both sides by 2/3

To solve for \( b \) in the equation \( \frac{3}{2}b = 19 \), we multiply both sides of the equation by the reciprocal of \( \frac{3}{2} \), which is \( \frac{2}{3} \). So we have:
\( \frac{2}{3} \times \frac{3}{2}b=\frac{2}{3} \times 19 \)

Step2: Simplify both sides

On the left - hand side, \( \frac{2}{3}\times\frac{3}{2}=1 \), so we are left with \( b \). On the right - hand side, \( \frac{2}{3}\times19=\frac{38}{3} \)

Answer:

\( \frac{38}{3} \) (or approximately \( 12.67 \) if a decimal approximation is preferred)