Question

Carina begins to solve the equation -4 - -x=-6 by adding 4 to both sides. Which statements regarding the

rest of the solving process could be true? Select three options.
-
After adding 4 to both sides, the equation is
After adding 4 to both sides, the equation is -
x = -2.
<= -10.
The equation can be solved for x using exactly one more step by multiplying both sides by --
The equation can be solved for xx using exactly one more step by dividing both sides by -
The equation can be solved for x using exactly one more step by multiplying both sides by -

Answer 1

Carina can solve the equation -4 - -x = -6 by adding 4 to both sides and then multiplying both sides by -1.

Step-by-step explanation:

Carina begins solving the equation -4 - -x = -6 by adding 4 to both sides. This cancels out the -4 on the left side, leaving us with -x = -2. To solve for x, we can multiply both sides of the equation by -1 to get x = 2. Therefore, the first statement 'x = -2' is true.

On the other hand, the equation cannot be solved for x using exactly one more step by multiplying both sides by - or dividing both sides by - as these operations would change the sign of x, resulting in incorrect solutions. Therefore, the statements 'The equation can be solved for x using exactly one more step by multiplying both sides by -' and 'The equation can be solved for x using exactly one more step by dividing both sides by -' are false.

Learn more about Solving Linear Equations