Question

$$\times - \frac{ 3 }{ 2 } y= \frac{ 7 }{ 2 }$$

Answer

y=-7/3

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{\times -3y}{2}=\frac{7}{2}\]
Simplify  \(\times -3y\)  to  \(-3y\).
\[\frac{-3y}{2}=\frac{7}{2}\]
Move the negative sign to the left.
\[-\frac{3y}{2}=\frac{7}{2}\]
Multiply both sides by \(2\).
\[-3y=\frac{7}{2}\times 2\]
Cancel \(2\).
\[-3y=7\]
Divide both sides by \(-3\).
\[y=-\frac{7}{3}\]

Decimal Form: -2.333333