Pregunta
Solve for \( r \) \( 8+4 r=9 r+r-10 \) \( r=\square \) Submit
Ask by Black Simpson. in the United States
Jan 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( r=3 \)
Solución
Solve the equation \( 8+4r=9r+r-10 \).
Solve the equation by following steps:
- step0: Solve for \(r\):
\(8+4r=9r+r-10\)
- step1: Add the terms:
\(8+4r=10r-10\)
- step2: Move the variable to the left side:
\(8+4r-10r=-10\)
- step3: Subtract the terms:
\(8-6r=-10\)
- step4: Move the constant to the right side:
\(-6r=-10-8\)
- step5: Subtract the numbers:
\(-6r=-18\)
- step6: Change the signs:
\(6r=18\)
- step7: Divide both sides:
\(\frac{6r}{6}=\frac{18}{6}\)
- step8: Divide the numbers:
\(r=3\)
The solution to the equation \(8+4r=9r+r-10\) is \(r=3\).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
To solve for \( r \), first, we simplify the equation: 1. Start with the original equation: \[ 8 + 4r = 9r + r - 10 \] 2. Combine like terms on the right side: \[ 8 + 4r = 10r - 10 \] 3. Next, we want to isolate \( r \). Subtract \( 4r \) from both sides: \[ 8 = 10r - 4r - 10 \] \[ 8 = 6r - 10 \] 4. Now, let's add 10 to both sides: \[ 18 = 6r \] 5. Finally, divide by 6 to solve for \( r \): \[ r = 3 \] So, \( r = 3 \).
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