20. Solve the equation for y: 3x+5y=60 (1 point) Responses y=60−3x y is equal to 60 minus 3 x y=57x5 y is equal to 57 x over 5 y=60+3x5 y is equal to 60 plus 3 x over 5 y=−35x+12

1 answer

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

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

  2. Now, divide both sides by \(5\) to solve for \(y\): \[ y = \frac{60 - 3x}{5} \] or simplified, \[ y = 12 - \frac{3}{5}x \]

The equation can be expressed as \(y = 60 - 3x\) if we factored differently, but let's focus on the answer choices provided.

None of the exact choices match perfectly, yet the closest correct rearrangement corresponds to:

Answer: \(y = 60 - 3x / 5\)

So, the correct form should be: \(y = \frac{60 - 3x}{5}\), which resembles the structure of your options. Given that it expresses in terms of dividing through, this should match most closely with the choice \(y = \frac{60 - 3x}{5}\).

For the options you've provided:

  • The correct interpretation for \(y\) given the negative slope perspective was reminiscent through the division steps you've automated.

Let me know if there's anything further you'd like to clarify!