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

Answer 1

Sure! Here are the completed solutions to the questions:

Question 1:

• The equation: \(-3x - 9 = -21\)
• Solve:
  • \(-3x = -21 + 9\)
  • \(-3x = -12\) (Add 9 to both sides)
  • \(x = \frac{-12}{-3}\)
  • \(x = 4\) (Divide both sides by -3)

Question 2:

• The equation: \(10x + 13 = -12\)
• Solve:
  • \(10x = -12 - 13\)
  • \(10x = -25\) (Subtract 13 from both sides)
  • \(x = \frac{-25}{10}\)
  • \(x = -2.5\) (Divide both sides by 10)

Question 3:

• Solve the equation \(5 - 6x = -7\):
  • \(-6x = -7 - 5 \)
  • \(-6x = -12\)
  • \(x = \frac{-12}{-6}\)
  • \(x = 2\)

Question 4:

• The equation: \(\frac{5}{3}x + \frac{11}{3} = -\frac{4}{3}\)
• Solve:
  • \(\frac{5}{3}x = -\frac{4}{3} - \frac{11}{3}\)
  • \(\frac{5}{3}x = -\frac{15}{3}\) (Subtract \(\frac{11}{3}\) from both sides)
  • \(x = -\frac{15}{3} \times \frac{3}{5}\)
  • \(x = -3\) (Multiply both sides by \(\frac{3}{5}\))

Question 5:

• The equation: \(0.24x - 0.74 = -1.1\)
• Solve:
  • \(0.24x = -1.1 + 0.74\)
  • \(0.24x = -0.36\) (Add \(0.74\) to both sides)
  • \(x = \frac{-0.36}{0.24}\)
  • \(x = -1.5\) (Divide both sides by \(0.24\))

Feel free to ask if you need further explanations or assistance!

Answer 2

Can you Summary all the answers in order?

Answer 3

Certainly! Here’s a summary of the answers in order:

Question 1:

• \( -3x = -12 \)
• \( x = 4 \)

Question 2:

• \( 10x = -25 \)
• \( x = -2.5 \)

Question 3:

• \( x = 2 \)

Question 4:

• \( \frac{5}{3}x = -5 \)
• \( x = -3 \)

Question 5:

• \( 0.24x = -0.36 \)
• \( x = -1.5 \)

Let me know if you need anything else!