Math Problem Statement

What are the solutions to the equation x+5=7?

a.

x=−44

b.

x=44

c.

x=15

d.

x=9

What are the solutions to the equation x−5=9?

a.

x=3

b.

x=86

c.

x=4

d.

x=13

What are the solutions to the equation 23x+43=3?

a.

x=7

b.

x=5

c.

x=4

d.

x=1

What are the solutions to the equation 3x−13=5?

a.

x=−42

b.

x=11

c.

x=42

d.

x=14

What are the solutions to the equation x+1=6?

a.

x=35

b.

x=16

c.

x=21

d.

x=30

What are the solutions to the equation x+23=4?

a.

x=−62

b.

x=62

c.

x=21

d.

x=14

What are the solutions to the equation x−7=8?

a.

x=57

b.

x=71

c.

x=29

d.

x=18

What are the solutions to the equation x+9=4?

a.

x=7

b.

x=25

c.

x=11

d.

x=6

What are the solutions to the equation x+1=8?

a.

x=63

b.

x=28

c.

x=31

d.

x=10

What are the solutions to the equation x+33=2?

a.

x=5

b.

x=−1

c.

x=11

d.

x=8

Solution

Let's solve each equation one by one:

  1. Equation: x+5=7x + 5 = 7

    • Subtract 5 from both sides: x=75=2x = 7 - 5 = 2
    • None of the options provided match x=2x = 2.
  2. Equation: x5=9x - 5 = 9

    • Add 5 to both sides: x=9+5=14x = 9 + 5 = 14
    • None of the options provided match x=14x = 14.
  3. Equation: 23x+43=323x + 43 = 3

    • Subtract 43 from both sides: 23x=343=4023x = 3 - 43 = -40
    • Divide both sides by 23: x=40231.74x = \frac{-40}{23} \approx -1.74
    • None of the options provided match this result.
  4. Equation: 3x13=53x - 13 = 5

    • Add 13 to both sides: 3x=5+13=183x = 5 + 13 = 18
    • Divide both sides by 3: x=183=6x = \frac{18}{3} = 6
    • None of the options provided match x=6x = 6.
  5. Equation: x+1=6x + 1 = 6

    • Subtract 1 from both sides: x=61=5x = 6 - 1 = 5
    • None of the options provided match x=5x = 5.
  6. Equation: x+23=4x + 23 = 4

    • Subtract 23 from both sides: x=423=19x = 4 - 23 = -19
    • None of the options provided match x=19x = -19.
  7. Equation: x7=8x - 7 = 8

    • Add 7 to both sides: x=8+7=15x = 8 + 7 = 15
    • None of the options provided match x=15x = 15.
  8. Equation: x+9=4x + 9 = 4

    • Subtract 9 from both sides: x=49=5x = 4 - 9 = -5
    • None of the options provided match x=5x = -5.
  9. Equation: x+1=8x + 1 = 8

    • Subtract 1 from both sides: x=81=7x = 8 - 1 = 7
    • None of the options provided match x=7x = 7.
  10. Equation: x+33=2x + 33 = 2

    • Subtract 33 from both sides: x=233=31x = 2 - 33 = -31
    • None of the options provided match x=31x = -31.

None of the provided options for any of the equations match the correct solutions.

Would you like more details or have any questions? Here are five related questions for further practice:

  1. How do you solve the equation 2x+5=152x + 5 = 15?
  2. What is the solution to 4x9=34x - 9 = 3?
  3. How do you determine if an equation has no solution?
  4. What steps are involved in solving 5x+2=275x + 2 = 27?
  5. What is the solution to 7x4=3x+127x - 4 = 3x + 12?

Tip: Always double-check your work to ensure the solution matches the given options.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear equations
Solving equations
Basic arithmetic

Formulas

-

Theorems

-

Suitable Grade Level

Grades 5-7