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

Question

(1 point)
Responses

y=57x5
y is equal to 57 x over 5

y=60+3x5
y is equal to 60 plus 3 x over 5

y=60−3x
y is equal to 60 minus 3 x

y=−35x+12
y is equal to negative 3 fifths x plus 12

Answer 1

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

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

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

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

So, the simplified form is: \[ y = -\frac{3}{5}x + 12 \]

The correct option from the responses provided is:

y is equal to negative \( \frac{3}{5} \) x plus 12.