Solve for v : {:[-(9)/(8)=v-(1)/(2)],[v=]:}

Write Equation: Write down the given equation. We have the equation -(9/8) = v - (1/2).Add to Isolate v: Add (1/2) to both sides of the equation to isolate v on one side. -(9/8) + (1/2) = v - (1/2) + (1/2)Simplify Equation: Simplify both sides of the equation. To add fractions, we need a common denominator. The common denominator for 8 and 2 is 8. -(9/8) + (4/8) = vCombine Fractions: Combine the fractions on the left side of the equation. -(9/8) + (4/8) = -(5/8) So, v = -(5/8).Check Solution: Check the solution by substituting v back into the original equation. -(9/8) = -(5/8) - (1/2) We need a common denominator to combine the fractions on the right side. -(5/8) - (4/8) = -(9/8) The left side equals the right side, so the solution is correct.

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

v

\newline

\begin{array}{l} -\frac{9}{8}=v-\frac{1}{2} \\ v=\square \end{array}

Write Equation: Write down the given equation. $\newline$ We have the equation $-(\frac{9}{8}) = v - (\frac{1}{2})$ .
Add to Isolate v: Add $(1/2)$ to both sides of the equation to isolate $v$ on one side. $\newline$ $-\frac{9}{8} + \frac{1}{2} = v - \frac{1}{2} + \frac{1}{2}$
Simplify Equation: Simplify both sides of the equation. $\newline$ To add fractions, we need a common denominator. The common denominator for $8$ and $2$ is $8$ . $\newline$ $-\left(\frac{9}{8}\right) + \left(\frac{4}{8}\right) = v$
Combine Fractions: Combine the fractions on the left side of the equation. $\newline$ $-\frac{9}{8} + \frac{4}{8} = -\frac{5}{8}$ $\newline$ So, $v = -\frac{5}{8}$ .
Check Solution: Check the solution by substituting $v$ back into the original equation. $-\frac{9}{8} = -\frac{5}{8} - \frac{1}{2}$ We need a common denominator to combine the fractions on the right side. $-\frac{5}{8} - \frac{4}{8} = -\frac{9}{8}$ The left side equals the right side, so the solution is correct.