Question

Solve the equation for y: 3x+5y=60
(1 point)
Responses

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

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

y=60−3x
y is equal to 60 minus 3 x

y=60+3x5

Answer 1

thats wrong

Answer 2

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

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

2. Divide each term by \(5\) to solve for \(y\):
\[
y = \frac{60 - 3x}{5}
\]

3. This can be simplified:
\[
y = \frac{60}{5} - \frac{3x}{5}
\]
\[
y = 12 - \frac{3}{5}x
\]

Thus, in slope-intercept form, \(y\) is equal to \( -\frac{3}{5}x + 12\).

From the choices provided, the correct response is:

**y is equal to negative 3 fifths x plus 12.**

Answer 3

Let’s double-check the steps for solving the equation \(3x + 5y = 60\) for \(y\).

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

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

3. Divide each term by \(5\) to isolate \(y\):
\[
y = \frac{60}{5} - \frac{3x}{5}
\]
\[
y = 12 - \frac{3}{5}x
\]

My previous answer indicated:
\[
y = -\frac{3}{5}x + 12
\]

This is indeed the correct rearrangement of the original equation into slope-intercept form.

If this does not match any of the options given in your responses, there might be a misunderstanding or misalignment in the available choices.

To ensure consistency:
- The rearranged form \(y = -\frac{3}{5}x + 12\) can also be written as \(y = 12 - \frac{3}{5}x\).

If you’d like to provide the specific responses again, I would be happy to clarify further!