Solve for v. 5v - 1/2 = 4 + 3/2v v = ____

Combine Like Terms: Combine like terms by getting all v terms on one side and constants on the other. 5v - 3/2v = 4 + 1/2Simplify Both Sides: Simplify both sides. (10/2v - 3/2v) = 4.5 7/2v = 4.5Solve for v: Solve for v by dividing both sides by the coefficient of v. v = 4.5 / (7/2) v = 4.5 * 2/7 v = 9/7

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Solve for $v$ . $\newline$ $5v - \frac{1}{2} = 4 + \frac{3}{2}v$ $\newline$ $v =$ __

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

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Q. Solve for

v

\newline

5v - \frac{1}{2} = 4 + \frac{3}{2}v

\newline

v =

Combine Like Terms: Combine like terms by getting all $v$ terms on one side and constants on the other. $5v - \frac{3}{2}v = 4 + \frac{1}{2}$
Simplify Both Sides: Simplify both sides. $\newline$ $(\frac{10}{2v} - \frac{3}{2v}) = 4.5$ $\newline$ $\frac{7}{2v} = 4.5$
Solve for v: Solve for v by dividing both sides by the coefficient of v. $\newline$ $v = \frac{4.5}{(\frac{7}{2})}$ $\newline$ $v = 4.5 \times \frac{2}{7}$ $\newline$ $v = \frac{9}{7}$