Carina begins to solve the equation -4 - 2/3x = -6 by adding 4 to both sides. which statements regarding the rest of the solving process could be true? select three options.

A.) After adding 4 to both sides, the equation is

C.) The equation can be solved for x using exactly one more step by multiplying both sides by

D.) The equation can be solved for x using exactly one more step by dividing both sides by

Step-by-step explanation:

The correct questions is as follows:

Carina begins to solve the equation -4-2/3x=-6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true? Check all that apply.

A.) After adding 4 to both sides, the equation is -2/3x=-2.

B.) After adding 4 to both sides, the equation is -2/3x=-10 .

C.) The equation can be solved for x using exactly one more step by multiplying both sides by -3/2.

D.) The equation can be solved for x using exactly one more step by dividing both sides by -2/3.

E.) The equation can be solved for x using exactly one more step by multiplying both sides by -2/3.

Given equation:

To show the steps we will carry out in order to solve for

Solution:

Solving for

Step 1:

Adding both sides by 4

Thus, we get:

Thus statement A is correct.

Step 2:

Multiplying both sides by

Thus, we get:

 [Two negatives multiply to give a positive]

This proves that statement C is correct.

Or Step 2:

Dividing both sides by

Thus, we get:

[On dividing with a fractional divisor, we take reciprocal and multiply it with the dividend.]

 [Two negatives multiply to give a positive]

This prove that statement D is correct.