Question

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

Add 9 to both sides.
x=

Divide both sides by −3
.

Answer 1

The equation 10x+13=−12
is solved as follows. Supply the correct numbers to complete the solution.(1 point)
10x+13=−12
10x=

Subtract 13 from both sides.
x=

Divide both sides by 10.

Answer 2

Solve 5−6x=−7
.(1 point)
x=

Answer 3

The equation 5/3 x+11/3=−4/3
is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
5/3 x+11/3=−4/3
5/3 x=

Subtract 11/3
from both sides.
x=

Multiply both sides by 3/5
, the reciprocal of 5/3
.

Answer 4

The equation 0.24x−0.74=−1.1
is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
0.24x−0.74=−1.1
0.24x=

Add 0.74 to both sides.
x=

Divide both sides by 0.24

Answer 5

Let's solve the equation step by step.

Starting with the equation:
\[
-3x - 9 = -21
\]

**Step 1:** Add 9 to both sides.
\[
-3x = -21 + 9
\]
Calculating the right side:
\[
-3x = -12
\]

**Step 2:** Divide both sides by -3.
\[
x = \frac{-12}{-3}
\]
Calculating the right side:
\[
x = 4
\]

So, the solution steps can be filled in as follows:

1. \(-3x = -12\)
2. \(x = 4\)

Final solution:
- After adding 9 to both sides, we find \(-3x = -12\).
- After dividing both sides by -3, we find \(x = 4\).

Answer 6

Let's solve the equation step by step.

Starting with the equation:
\[
10x + 13 = -12
\]

**Step 1:** Subtract 13 from both sides.
\[
10x = -12 - 13
\]
Calculating the right side:
\[
10x = -25
\]

**Step 2:** Divide both sides by 10.
\[
x = \frac{-25}{10}
\]
This simplifies to:
\[
x = -2.5
\]

So, the solution steps can be filled in as follows:

1. \(10x = -25\)
2. \(x = -2.5\)

Final solution:
- After subtracting 13 from both sides, we find \(10x = -25\).
- After dividing both sides by 10, we find \(x = -2.5\).

Answer 7

To solve the equation \(5 - 6x = -7\), follow these steps:

**Step 1:** Subtract 5 from both sides.
\[
-6x = -7 - 5
\]
Simplifying the right side:
\[
-6x = -12
\]

**Step 2:** Divide both sides by -6.
\[
x = \frac{-12}{-6}
\]
This simplifies to:
\[
x = 2
\]

Thus, the solution is:
\[
x = 2
\]

Answer 8

Let's solve the equation step by step.

Starting with the equation:
\[
\frac{5}{3} x + \frac{11}{3} = -\frac{4}{3}
\]

**Step 1:** Subtract \(\frac{11}{3}\) from both sides.
\[
\frac{5}{3} x = -\frac{4}{3} - \frac{11}{3}
\]
Calculating the right side:
\[
\frac{5}{3} x = -\frac{4 + 11}{3} = -\frac{15}{3} = -5
\]

**Step 2:** Now we have:
\[
\frac{5}{3} x = -5
\]

**Step 3:** Multiply both sides by \(\frac{3}{5}\), the reciprocal of \(\frac{5}{3}\).
\[
x = -5 \cdot \frac{3}{5}
\]
This simplifies to:
\[
x = -3
\]

So, to fill in the correct numbers:

1. \(\frac{5}{3} x = -5\)
2. \(x = -3\)

Final solution:
- After subtracting \(\frac{11}{3}\) from both sides, we find \(\frac{5}{3} x = -5\).
- After multiplying both sides by \(\frac{3}{5}\), we find \(x = -3\).

Answer 9

Let's solve the equation step by step.

Starting with the equation:
\[
0.24x - 0.74 = -1.1
\]

**Step 1:** Add \(0.74\) to both sides.
\[
0.24x = -1.1 + 0.74
\]
Calculating the right side:
\[
0.24x = -1.1 + 0.74 = -0.36
\]

**Step 2:** Now we have:
\[
0.24x = -0.36
\]

**Step 3:** Divide both sides by \(0.24\).
\[
x = \frac{-0.36}{0.24}
\]
Calculating the right side gives:
\[
x = -1.5
\]

So to fill in the correct numbers:

1. \(0.24x = -0.36\)
2. \(x = -1.5\)

Final solution:
- After adding \(0.74\) to both sides, we find \(0.24x = -0.36\).
- After dividing both sides by \(0.24\), we find \(x = -1.5\).