Question

The key to solving a two-step equation is isolating the variable on one side of the equation. In which of the following equations is the variable isolated?

Ax = 9/2 + 4incorrect answer
B2x = 8incorrect answer
C3x = 8 + 5incorrect answer
Dx = 5x - 4

Answer 1

Answer:In the equation Dx = 5x - 4, the variable x is isolated on one side of the equation.

To isolate the variable x in an equation, we want to move all the terms containing x to one side of the equation and all the constant terms to the other side.

Let's examine the equation Dx = 5x - 4 step by step:

Step 1: Start with the equation Dx = 5x - 4.

Step 2: We want to isolate the variable x, so let's move the term with 5x to the other side of the equation. We can do this by subtracting 5x from both sides of the equation:

Dx - 5x = 5x - 4 - 5x.

This simplifies to:

(D - 5)x = -4.

Step 3: Now, the variable x is isolated on one side of the equation. The equation becomes:

(D - 5)x = -4.

Therefore, in the equation Dx = 5x - 4, the variable x is isolated on one side of the equation.

To summarize:

- In the equation Dx = 5x - 4, the variable x is isolated on one side of the equation.

Explanation: