Question

Solve for y in terms of x for the expression 2x + 3 = 1.5(4 + 2y).

A) y = -2x - 3.5
B) y = -2x - 2.5
C) y = -2x + 2.5
D) y = -2x + 3.5

Answer 1

To solve for y in terms of x, distribute and simplify the equation, then isolate the y term by subtracting and dividing.

Step-by-step explanation:

To solve for y in terms of x for the equation 2x + 3 = 1.5(4 + 2y), we need to isolate y on one side of the equation. Here's how:

1. Distribute 1.5 to both terms inside the parentheses: 2x + 3 = 6 + 3y
2. Combine like terms: 2x + 3 = 6 + 3y
3. Subtract 6 from both sides to isolate the y term: 2x + 3 - 6 = 6 + 3y - 6
4. Simplify: 2x - 3 = 3y
5. Divide both sides by 3 to solve for y: y = (2x - 3) / 3

Therefore, the answer is y = (2x - 3) / 3.