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

Question

(1 point)
Responses

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

y=57x5

Answer 1

To solve the equation \(3x + 5y = 60\) for \(y\), we need to isolate \(y\).

Starting with the equation:

\[ 3x + 5y = 60 \]

we can subtract \(3x\) from both sides:

\[ 5y = 60 - 3x \]

Next, we divide both sides by \(5\):

\[ y = \frac{60 - 3x}{5} \]

This simplifies to:

\[ y = 12 - \frac{3}{5}x \]

Now, let's analyze the given responses to find the correct one:

1. \(y = 60 + \frac{3x}{5}\) - Incorrect.
2. \(y = 60 - 3x\) - Incorrect.
3. \(y = -\frac{3}{5}x + 12\) - Correct (it matches the simplified version).
4. \(y = 57x/5\) - Incorrect.

The correct answer is:

y = -\frac{3}{5}x + 12