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\( v=14 \)
Solución
Solve the equation \( \frac{13-7v}{5}=11-2v \).
Solve the equation by following steps:
- step0: Solve for \(v\):
\(\frac{13-7v}{5}=11-2v\)
- step1: Multiply both sides of the equation by LCD:
\(\frac{13-7v}{5}\times 5=\left(11-2v\right)\times 5\)
- step2: Simplify the equation:
\(13-7v=55-10v\)
- step3: Move the expression to the left side:
\(-7v+10v=55-13\)
- step4: Add and subtract:
\(3v=55-13\)
- step5: Add and subtract:
\(3v=42\)
- step6: Divide both sides:
\(\frac{3v}{3}=\frac{42}{3}\)
- step7: Divide the numbers:
\(v=14\)
The solution to the equation \( \frac{13-7v}{5}=11-2v \) is \( v=14 \).
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Mind Expander
To solve the equation \( \frac{13-7v}{5} = 11 - 2v \), start by eliminating the fraction. Multiply both sides by 5: \[ 13 - 7v = 5(11 - 2v) \] This simplifies to: \[ 13 - 7v = 55 - 10v \] Next, rearrange the equation to get all the \( v \) terms on one side and constant terms on the other: \[ 10v - 7v = 55 - 13 \] This results in: \[ 3v = 42 \] Now, divide both sides by 3: \[ v = 14 \] Thus, the solution is \( v = 14 \). Now tighten your calculations! It’s easy to get lost with multiple operations. Always double-check each step to avoid minor arithmetic errors. And don’t forget, practicing similar equations can build up your confidence and speed in math!
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