Question

Which of these below correctly solves for y of the equation 3x - 2 = 4y + 5?

a) y = (3x - 7) / 4
b) y = (3x + 7) / 4
c) y = (3x - 5) / 4
d) y = (3x + 5) / 4

Answer 1

The correct solution for the equation 3x - 2 = 4y + 5, when solving for y, is option a: y = (3x - 7) / 4. The steps involve rearranging the equation and dividing by the coefficient of y.

Step-by-step explanation:

To solve the equation 3x - 2 = 4y + 5 for y, you follow these steps:

1. First, move all the y-terms on one side and all the other terms on the opposite side by subtracting 4y from both sides of the equation. This gives you 3x - 4y - 2 = 5.
2. Next, isolate the y-related terms by moving the constant term on the right side, resulting in 3x - 4y = 7 after adding 2 to both sides.
3. Finally, divide every term by the coefficient of y, which is 4, to solve for y. This results in y = (3x - 7) / 4, which is option a.

The correct answer is option a: y = (3x - 7) / 4.