Pregunta
10) \( 4 p-3=17 \)
Ask by Ryan Stuart. in the United States
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\( p=5 \)
Solución
Solve the equation \( 4p-3=17 \).
Solve the equation by following steps:
- step0: Solve for \(p\):
\(4p-3=17\)
- step1: Move the constant to the right side:
\(4p=17+3\)
- step2: Add the numbers:
\(4p=20\)
- step3: Divide both sides:
\(\frac{4p}{4}=\frac{20}{4}\)
- step4: Divide the numbers:
\(p=5\)
The solution to the equation \(4p-3=17\) is \(p=5\).
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The Deep Dive
To solve the equation \( 4p - 3 = 17 \), first, add 3 to both sides to isolate the term with \( p \): \( 4p = 20 \). Next, divide both sides by 4 to solve for \( p \): \( p = 5 \). Voilà! You've found that \( p \) equals 5, and it’s as easy as pie! Solving linear equations like this can be super helpful in everyday life, such as budgeting or determining quantities. For instance, if you're planning a party and know how much each item costs, you can use an equation like this to figure out how many items you can buy without overspending!
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