20. Solve the equation for y:  3x+5y=60 (1 point)Responsesy=57x5y is equal to 57 x over 5y=−35x+12y is equal to negative 3 fifths x plus 12y=60−3xy is equal to 60 minus 3 xy=60+3x5

1 answer

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

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

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

  3. Now, divide both sides by 5: \[ y = \frac{60 - 3x}{5} \]

  4. Simplify the right side: \[ y = 12 - \frac{3}{5}x \]

So, the final answer is: \[ y = 12 - \frac{3}{5}x \]

This can also be rearranged to express \( y \) in terms of \( x \) more clearly.

Therefore, the correct response from your options based on this solution is: \[ y \text{ is equal to } -\frac{3}{5}x + 12 \]