Questions: Solve for the indicated variable. 3x-5y=15; for y y=

Solve for the indicated variable. 3x-5y=15; for y y=
Transcript text: Solve for the indicated variable. \[ 3 x-5 y=15 ; \text { for } y \] \[ y= \] $\square$ (Use integers or fractions for any numbers in the expressi
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Solution

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Solution Steps

Step 1: Isolate the term containing \( y \)

Start with the equation: \[ 3x - 5y = 15 \] Subtract \( 3x \) from both sides to isolate the term containing \( y \): \[ -5y = 15 - 3x \]

Step 2: Solve for \( y \)

Divide both sides by \( -5 \) to solve for \( y \): \[ y = \frac{15 - 3x}{-5} \]

Step 3: Simplify the expression

Simplify the fraction: \[ y = \frac{15}{-5} - \frac{3x}{-5} \] \[ y = -3 + \frac{3x}{5} \] \[ y = \frac{3x}{5} - 3 \]

Final Answer

\[ \boxed{y = \frac{3x}{5} - 3} \]

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