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When solving [tex]-\frac{1}{3}(x-15)=-4[/tex], what is the correct sequence of operations?

A. Multiply each side by [tex]-\frac{1}{3}[/tex], subtract 15 from each side
B. Multiply each side by -3, add 15 to each side
C. Multiply each side by [tex]-\frac{1}{3}[/tex], add 15 to each side
D. Multiply each side by 3, subtract 15 from each side



Answer :

GinnyAnswer
To solve the given equation [tex]\(-\frac{1}{3}(x-15)=-4\)[/tex], let's look at the proper sequence of operations step by step:

1. The first step is to eliminate the fraction by multiplying each side by -3. This is because multiplying by -3 will cancel out the -1/3 on the left side of the equation.

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

Simplifying this:

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

2. The next step is to isolate [tex]\(x\)[/tex] by adding 15 to each side of the equation:

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

Simplifying this:

[tex]\[ x = 27 \][/tex]

So, the correct sequence of operations is:
1. Multiply each side by -3
2. Add 15 to each side

Therefore, the correct answer is:

b) Multiply each side by -3 , add 15 to each side

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