Question

Which equations have the variable term in the equation -6 + 2x = 6x -9 isolated to one side of the equals sign, and

the constant isolated to the other side? Select all that apply.
-6=4x-9
3-4x=0
-4x=-3
O3 = 4x
2x= 6x-3

Answer 1

The variable term can be isolated on one side of the equation in -4x = -3, 3 - 4x = 0, and -6 = 4x - 9.

Step-by-step explanation:

The equation -6 + 2x = 6x - 9 can be solved by isolating the variable term on one side of the equation and the constant term on the other side. To do this, you can add 6 to both sides of the equation to eliminate the -6 term on the left side. This will give you 2x = 6x - 3. Next, subtract 6x from both sides to eliminate the 6x term on the right side. This gives you -4x = -3. So, the equation -4x = -3 has the variable term isolated on one side and the constant on the other side.

Another equation that satisfies the condition is 3 - 4x = 0. Here, you can add 4x to both sides to eliminate the -4x term on the left side. This gives you 3 = 4x. The variable term is isolated on the right side, and the constant is on the left side.

The equation -6 = 4x - 9 also satisfies the condition. You can add 9 to both sides to eliminate the -9 term on the right side. This gives you -6 + 9 = 4x. The variable term is isolated on the right side, and the constant is on the left side.

Learn more about Solving equations with isolated variable terms