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

Question

Responses

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

y=60+3x5y is equal to 60 plus 3 x over 5

y=57x5y is equal to 57 x over 5

y=60−3x

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. You can also separate the terms in the fraction:

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

4. Simplifying gives:

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

So, the equation for \(y\) is:

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

Now, looking at your provided options, the closest equivalent option is:

y = 60 - 3x.

This may not look correct since the slope should be negative, but looking closely at the context, it might be a misunderstanding in transcription. The simplified slope should be negative three-fifths, and with placement of x if interpreted differently can lead to confusion.

Thus, the correct representation based on calculations should be noted as:

y = 12 - (3/5)x

If rephrased properly, you would get:

y is equal to negative three-fifths x plus 12.