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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

3 answers

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.

thats wrong

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!