When solving -1/3 (x − 15) = −4, what is the correct sequence of operations?
1. Multiply each side by -1/3, subtract 15 from each side
2. Multiply each side by −3, add 15 to each side
3. Multiply each side by -1/3 , add 15 to each side
4. Multiply each side by 3, subtract 15 from each side


Respuesta :

Answer:

The correct sequence of operation is multiply each side by (-3), add 15 to each side.

Therefore, option (B) is the correct answer.

Step-by-step explanation:

[tex]\frac{-1}{3} (x - 15) = -4[/tex]

Multiply each side by -3

[tex](-3) \times \frac{-1}{3} (x - 15) = -4 \times (-3)[/tex]

[tex](x - 15) = 12[/tex]

Adding 15 to both sides

[tex]x - 15 + 15 = 12 + 15[/tex]

x = 27.

So, the correct sequence of operation is multiply each side by (-3), add 15 to each side.

Therefore, option (B) is the correct answer.