Question

Carina begins to solve the equation Negative 4 minus two-thirds x equals negative 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 Negative two-thirds x equals negative 2. After adding 4 to both sides, the equation is Negative two-thirds x equals negative 10. The equation can be solved for using exactly one more step by multiplying both sides by Negative three-halves. The equation can be solved for x using exactly one more step by dividing both sides by Negative two-thirds. The equation can be solved for x using exactly one more step by multiplying both sides by Negative two-thirds.

Answer 1

Answer:

1,3,4

Step-by-step explanation:

got it right from edge

Answer 2

The given equation   $-4 - \frac{2}{3}x = -6$

The equation Negative 4 minus two-thirds x equals negative 6 by adding 4 to both sides

When 4 is added on both side    $-4 - \frac{2}{3}x +4 = -6 + 4$

   Solving further we get                 $- \frac{2}{3}x = -2$

Thus, After adding 4 to both sides, the equation is Negative two-thirds x equals negative 2.

Equation from here can be evaluated

(a) The equation can be solved for using exactly one more step by multiplying both sides by Negative three-halves.

                      $- \frac{2}{3}x (\frac{-3}{2} ) = -2(\frac{-3}{2} )$

                                  $x= 3$

(b) The equation can be solved for x using exactly one more step by dividing both sides by Negative two-thirds.

                               $- \frac{2}{3}x /(\frac{-2}{3} ) = -2/(\frac{-2}{3} )$

                                              $x= 3$

Thus , there could be two ways to evaluate the equations from here either by multiplying both sides by Negative three-halves or by dividing both sides by Negative two-thirds.

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