Solve the equation for y: 3x+5y=60 (1 point) Responses y=57x/5 y is equal to 57 x over 5 y=−3/5x+12 y is equal to negative 3 fifths x plus 12 y=60+3x/5 y is equal to 60 plus 3 x over 5 y=60−3x

Answer 1

To solve the equation \(3x + 5y = 60\) for \(y\), follow these steps:

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

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

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

4. Simplify the equation: \[ y = \frac{60}{5} - \frac{3x}{5} \] \[ y = 12 - \frac{3}{5}x \]

So, the equation can be rewritten as: \[ y = -\frac{3}{5}x + 12 \]

This corresponds to the response: y = −3/5x + 12.