Pregunta
2. Solve por the \( \frac{y+3}{3}-\frac{y-3}{4}=1 / 12 \)
Ask by Wagner Thornton. in Kenya
Nov 10,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( y=-20 \).
Solución
Solve the equation \( \frac{y+3}{3}-\frac{y-3}{4}=\frac{1}{12} \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(\frac{y+3}{3}-\frac{y-3}{4}=\frac{1}{12}\)
- step1: Multiply both sides of the equation by LCD:
\(\left(\frac{y+3}{3}-\frac{y-3}{4}\right)\times 12=\frac{1}{12}\times 12\)
- step2: Simplify the equation:
\(y+21=1\)
- step3: Move the constant to the right side:
\(y=1-21\)
- step4: Subtract the numbers:
\(y=-20\)
The solution to the equation \( \frac{y+3}{3}-\frac{y-3}{4}=\frac{1}{12} \) is \( y=-20 \).
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Simplifique esta solución The Deep Dive
To solve the equation \( \frac{y+3}{3}-\frac{y-3}{4}=1 / 12 \), first find a common denominator for the fractions, which is 12. Rewrite each term with a denominator of 12: \[ \frac{4(y+3)}{12} - \frac{3(y-3)}{12} = 1/12 \] Combine the fractions on the left side: \[ \frac{4(y+3) - 3(y-3)}{12} = 1/12 \] This simplifies to: \[ 4y + 12 - 3y + 9 = 1 \] Combine like terms: \[ y + 21 = 1 \] Now, isolate \( y \): \[ y = 1 - 21 \] \[ y = -20 \] Thus, the solution is \( y = -20 \). Double-check your work by plugging \( y = -20 \) back into the original equation to ensure everything balances!
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