Question

Question 1
A)The equation −3x−9=−21
−
3
𝑥
−
9
=
−
21

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

−3x=
−
3
𝑥
=
$$ Add 9 to both sides.
x=
𝑥
=
$$ Divide both sides by −3
−
3
.
Question 2
A)The equation 10x+13=−12
10
𝑥
+
13
=
−
12

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

10x=
10
𝑥
=
$$ Subtract 13 from both sides.
x=
𝑥
=
$$ Divide both sides by 10.
Question 3
A)Solve 5−6x=−7
5
−
6
𝑥
=
−
7

.(1 point)
x=
𝑥
=
$$
Question 4
A)The equation 53x+113=−43
5
3
𝑥
+
11
3
=
−
4
3
is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
53x+113=−43
5
3
𝑥
+
11
3
=
−
4
3
53x=
5
3
𝑥
=
$$ Subtract 113
11
3
from both sides.
x=
𝑥
=
$$ Multiply both sides by 35
3
5
, the reciprocal of 53
5
3
.
Question 5
A)The equation 0.24x−0.74=−1.1
0.24
𝑥
−
0.74
=
−
1.1
is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
0.24x−0.74=−1.1
0.24
𝑥
−
0.74
=
−
1.1
0.24x=
0.24
𝑥
=
$$ Add 0.74 to both sides.
x=
𝑥
=
$$ Divide both sides by 0.24.

Answer 1

Give me all the interesting order.

Answer 2

Sure! Here are the completed solutions for the equations given in the questions:

### Question 1
The equation \( -3x - 9 = -21 \) is solved as follows:

\[
-3x - 9 = -21
\]

Adding 9 to both sides:
\[
-3x = -21 + 9
\]
\[
-3x = -12
\]

Dividing both sides by \(-3\):
\[
x = \frac{-12}{-3}
\]
\[
x = 4
\]

### Question 2
The equation \( 10x + 13 = -12 \) is solved as follows:

\[
10x + 13 = -12
\]

Subtracting 13 from both sides:
\[
10x = -12 - 13
\]
\[
10x = -25
\]

Dividing both sides by 10:
\[
x = \frac{-25}{10}
\]
\[
x = -2.5
\]

### Question 3
To solve \( 5 - 6x = -7 \):

First, subtract 5 from both sides:
\[
-6x = -7 - 5
\]
\[
-6x = -12
\]

Next, divide both sides by -6:
\[
x = \frac{-12}{-6}
\]
\[
x = 2
\]

### Question 4
The equation \( 53x + 113 = -43 \) is solved as follows:

\[
53x + 113 = -43
\]

Subtracting 113 from both sides:
\[
53x = -43 - 113
\]
\[
53x = -156
\]

Multiplying both sides by \( \frac{3}{5} \) (the reciprocal of \(\frac{5}{3}\)):
\[
x = -156 \cdot \frac{3}{53}
\]
\[
x = -\frac{468}{53}
\]
(The exact arithmetic gives the fractional representation, though it can be calculated further into decimal form if preferred.)

### Question 5
The equation \( 0.24x - 0.74 = -1.1 \) is solved as follows:

\[
0.24x - 0.74 = -1.1
\]

Adding \( 0.74 \) to both sides:
\[
0.24x = -1.1 + 0.74
\]
\[
0.24x = -0.36
\]

Dividing both sides by \( 0.24 \):
\[
x = \frac{-0.36}{0.24}
\]
\[
x = -1.5
\]

Feel free to let me know if you need more assistance!

Answer 3

Certainly! Here's a summary of all the solutions in an ordered manner that includes the problems and their respective solutions:

### Problem Solutions

#### Question 1
**Equation:**
\[
-3x - 9 = -21
\]
**Steps:**
1. Add 9 to both sides:
\[
-3x = -12
\]
2. Divide both sides by -3:
\[
x = 4
\]

---

#### Question 2
**Equation:**
\[
10x + 13 = -12
\]
**Steps:**
1. Subtract 13 from both sides:
\[
10x = -25
\]
2. Divide both sides by 10:
\[
x = -2.5
\]

---

#### Question 3
**Equation:**
\[
5 - 6x = -7
\]
**Steps:**
1. Subtract 5 from both sides:
\[
-6x = -12
\]
2. Divide both sides by -6:
\[
x = 2
\]

---

#### Question 4
**Equation:**
\[
53x + 113 = -43
\]
**Steps:**
1. Subtract 113 from both sides:
\[
53x = -156
\]
2. Multiply both sides by \(\frac{3}{5}\) (the reciprocal of \( \frac{5}{3} \)):
\[
x = - \frac{468}{53}
\]

---

#### Question 5
**Equation:**
\[
0.24x - 0.74 = -1.1
\]
**Steps:**
1. Add \( 0.74 \) to both sides:
\[
0.24x = -0.36
\]
2. Divide both sides by \( 0.24 \):
\[
x = -1.5
\]

---

### Summary of Solutions
1. **Question 1:** \( x = 4 \)
2. **Question 2:** \( x = -2.5 \)
3. **Question 3:** \( x = 2 \)
4. **Question 4:** \( x = -\frac{468}{53} \) (or approximately -8.84)
5. **Question 5:** \( x = -1.5 \)

If you need a different type of ordering or more details, feel free to let me know!