Question

The equation −3x−9=−21
−
3
𝑥
−
9
=
−
21
is solved as follows. Enter the correct numbers to complete the solution.(1 point)
−3x−9=−21
−
3
𝑥
−
9
=
−
21

−3x=
−
3
𝑥
=
Add 9 to both sides of the equation.

x=
𝑥
=
Divide both sides of the equation by -3. If the answer is an improper fraction, enter the improper fraction.

Answer 1

Let's solve the equation step by step and fill in the blanks accordingly.

1. Start with the equation:
\[
-3x - 9 = -21
\]

2. Add 9 to both sides:
\[
-3x = -21 + 9
\]
Simplifying the right side gives:
\[
-3x = -12
\]

3. Now, divide both sides by -3:
\[
x = \frac{-12}{-3}
\]
Simplifying this gives:
\[
x = 4
\]

Now, to fill in the correct numbers in the solution:
- The step where we added 9 to both sides would give:
\[
-3x = -12
\]
- The final step where we divided by -3 results in:
\[
x = 4
\]

Putting this all together, the completed solution looks like:
1. \( -3x - 9 = -21 \)
2. \( -3x = -12 \) (after adding 9 to both sides)
3. \( x = 4 \) (after dividing both sides by -3)

So, the answers to fill in are:
- For the first blank: **-12**
- For the second blank: **4**