Question
valuate the expression below when \( y=3 \). If heeded, answer as a fraction or a decimal. \[ \frac{y \cdot 5}{y+2} \]
Ask by Murray Gross. in the United States
Nov 14,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
When \( y=3 \), the expression evaluates to 3.
Solution
Substitute \( y=3 \) into the expression \( \frac{y \cdot 5}{y+2} \).
Evaluate the expression by following steps:
- step0: Evaluate:
\(\frac{y\times 5}{y+2}\)
- step1: Substitute:
\(\frac{3\times 5}{3+2}\)
- step2: Multiply the numbers:
\(\frac{15}{3+2}\)
- step3: Add the numbers:
\(\frac{15}{5}\)
- step4: Divide the terms:
\(3\)
When \( y=3 \), the expression \( \frac{y \cdot 5}{y+2} \) evaluates to 3.
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Simplify this solution Extra Insights
To evaluate the expression \( \frac{y \cdot 5}{y+2} \) when \( y=3 \), we substitute \( 3 \) for \( y \): \[ \frac{3 \cdot 5}{3+2} = \frac{15}{5} = 3 \] So, the value of the expression when \( y=3 \) is \( 3 \). If you're ever in doubt about your calculations, it can be helpful to break things down step by step. First, calculate the numerator and denominator separately before you divide. A common mistake here would be to miscalculate the addition in the denominator, so double-checking is always a good idea!
