The equation −3x−9=−21

Question

−
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