Question

Which of the following solves the equation 3x - 5y = 21 for y?

A) y = 3x + 21
B) y = -3/5x + 21
C) y = 3/5x + 21/5
D) y = 3/5x - 21/5

Answer 1

To solve the equation 3x - 5y = 21 for y, subtract 3x from both sides, divide by -5, and simplify to get y = -21/5 + 3/5x.

Step-by-step explanation:

To solve the equation 3x - 5y = 21 for y, we need to isolate the y variable on one side of the equation. Here is how we can do it:

1. Start by subtracting 3x from both sides of the equation: -5y = 21 - 3x
2. Next, divide both sides of the equation by -5 to isolate y: y = (21 - 3x) / -5
3. Simplify the expression: y = -21/5 + 3/5x

Therefore, the correct answer is y = -21/5 + 3/5x (option D).