Questions: Arithmetic and Algebra Review Multiplicative property of equality with signed fraction: Solve for v. -49=-7/9 v Simplify your answer as much as possible. v=

Solution Steps

To solve for \( v \), we first isolate the term containing \( v \). The equation is: \[ -49 = -\frac{7}{9} v \]

To isolate \( v \), we divide both sides of the equation by \( -\frac{7}{9} \): \[ v = \frac{-49}{-\frac{7}{9}} \]

Dividing by a fraction is the same as multiplying by its reciprocal. Therefore: \[ v = -49 \times \left(-\frac{9}{7}\right) \]

Multiply the numbers: \[ v = 49 \times \frac{9}{7} \]

Simplify \( 49 \times \frac{9}{7} \): \[ v = 7 \times 9 = 63 \]

Final Answer