Question

Solve for y in the equation: (6x + 6) = (5y + 10).

a. y = (6/5)x

b. y = (6/5)x - 4

c. y = (5/6)x + 4

d. y = (5/6)x

Answer 1

To solve the equation (6x + 6) = (5y + 10) for y, subtract 10 from both sides, then divide by 5 to get y = (6/5)x - 4.

Step-by-step explanation:

To solve for y in the equation (6x + 6) = (5y + 10), you first want to isolate the variable y on one side of the equation. Here is the process:

1. Subtract 10 from both sides: 6x + 6 - 10 = 5y + 10 - 10, which simplifies to 6x - 4 = 5y.
2. Divide both sides by 5 to solve for y: (6x - 4)/5 = y, which simplifies to y = (6/5)x - 4.

Therefore, the correct answer is b. y = (6/5)x - 4.