Question

I NEED HELP ASAP!!!

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.

Answer 1

options 3 and 4 are correct

Answer 2

Answer with explanation:

The given equation is

`-4 -(2 x)/(3)= -6\\\\{\text{adding 4 on both sides}}\\\\ -4 -(2 x)/(3)+4= -6+4\\\\(-2 x)/(3)=-2`

Multiplying both sides by
`(-3)/(2)`

`(-2x)/(3)*(-3)/(2)=-2* (-3)/(2)\\\\ x=3`

You can get the result by dividing both side of equation by
`(-2)/(3)`

The Correct Options are

Option A: After adding 4 to both sides, the equation is
`(-2 x)/(3)= -2`

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

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