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.

Respuesta :

options 3 and 4 are correct

Answer with explanation:

The given equation is

[tex]-4 -\frac{2 x}{3}= -6\\\\{\text{adding 4 on both sides}}\\\\ -4 -\frac{2 x}{3}+4= -6+4\\\\\frac{-2 x}{3}=-2[/tex]

Multiplying both sides by[tex]\frac{-3}{2}[/tex]

[tex]\frac{-2x}{3}*\frac{-3}{2}=-2* \frac{-3}{2}\\\\ x=3[/tex]

You can get the result by dividing both side of equation by [tex]\frac{-2}{3}[/tex]

The Correct Options are

Option A: After adding 4 to both sides, the equation is [tex]\frac{-2 x}{3}= -2[/tex]

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.