Question

Solve the following equation for x: 2x – 3y = 6.

A) x = 3y + 3
B) x = (3/4)y - 3
C) x = -y - 3
D) x = -3y + 3

Answer 1

The correct solution to the equation 2x – 3y = 6 after isolating x is x = (3/2)y + 3, but this solution does not match any of the given options A, B, C, or D.

Step-by-step explanation:

To solve the equation 2x – 3y = 6 for x, we need to isolate x on one side of the equation. Here are the steps:

1. Add 3y to both sides of the equation to get 2x = 3y + 6.
2. Divide both sides by 2 to solve for x, resulting in x = (3y + 6)/2.
3. Simplify the right side to get x = (3/2)y + 3.

By comparing the simplified equation with the options given in the question, it is clear that none of the answer choices matches the correct equation x = (3/2)y + 3. It seems there might be a typo or mistake in the provided options; hence, the correct option is not listed.