Question

correctly select the order of the steps to solve this equation
1/3 (6x-9)=-33

Answer 1

do it again but with these answers
a. add 9 to both sides of the equation
b. add 1/3 to both sides of the equation
c. divide by 6 on both sides of the equation
d. subtract 1/3 from both sides of the equation
e. divide by 1/3 from both sides of the equation
f. multiply by 1/3 on both sides of the equation
g. subtract 6 from both sides of the equation
h. subtract 9 from both sides of the equation
i. multiply by 6 on both sides of the equation

Answer 2

To solve the equation \( \frac{1}{3}(6x - 9) = -33 \), follow these steps in order:

1. **Multiply both sides by 3** to eliminate the fraction:
\[
6x - 9 = -99
\]

2. **Add 9 to both sides** to isolate the term with \( x \):
\[
6x = -90
\]

3. **Divide both sides by 6** to solve for \( x \):
\[
x = -15
\]

So the correct order of steps to solve the equation is:
1. Multiply both sides by 3.
2. Add 9 to both sides.
3. Divide both sides by 6.

Answer 3

To solve the equation \( \frac{1}{3}(6x - 9) = -33 \) using the provided options, the correct order of steps is as follows:

1. **Multiply by 3 on both sides of the equation** to eliminate the fraction (equivalent to multiplying by the reciprocal of \( \frac{1}{3} \)):
- This is not listed explicitly; however, if we were to mimic this, we could think of multiplying both sides by 3 to lead to the next step.

2. **Subtract 9 from both sides of the equation** (Option **h**):
From \( 6x - 9 = -99 \):
\[
6x = -90
\]

3. **Divide by 6 on both sides of the equation** (Option **c**):
\[
x = -15
\]

The sequence of applicable answers is:

1. Start with Step **f** (though it isn't directly listed, it's the action equivalent to multiplying both sides by 3).
2. Step **h**: Subtract 9 from both sides.
3. Step **c**: Divide by 6 on both sides.

Since **f** may not appear explicitly in the choices, the closest path to solving the equation with the provided options would be:

- Use Step **h**: Subtract 9.
- Use Step **c**: Divide by 6.

Note that the multiplication step to eliminate the fraction must occur but is not represented clearly in the answer choices you provided.