Question 1

Question

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

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 2

Give me all the interesting order.

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!