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Solve the equation for y: 3x + 5y = 60

A. y = 60 - 3x
B. y = - 3/5x + 12
C. y = 57x/5
D. y = 60 + 3x/5

1 answer

To solve the equation \(3x + 5y = 60\) for \(y\), we can isolate \(y\) on one side of the equation.

  1. Start with the equation: \[ 3x + 5y = 60 \]

  2. Subtract \(3x\) from both sides: \[ 5y = 60 - 3x \]

  3. Divide both sides by \(5\): \[ y = \frac{60 - 3x}{5} \]

  4. Simplify the right side: \[ y = 12 - \frac{3}{5}x \]

This can be rewritten as: \[ y = -\frac{3}{5}x + 12 \]

Thus, the correct answer is: B. \(y = -\frac{3}{5}x + 12\).