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

Question

(1 point)
Responses

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

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

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

y=60−3x

Answer 1

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

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

2. Now, divide by 5 to solve for \(y\): \[ y = \frac{60 - 3x}{5} \] This can be rewritten as: \[ y = 12 - \frac{3}{5}x \]

So the solution in standard form is: \[ y = -\frac{3}{5}x + 12 \]

Among the provided options, the answer that matches this is: y is equal to negative 3 fifths x plus 12.