1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ruslelena [56]
2 years ago
12

3x + 1 = 3(x - 1) + 4​

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
7 0

Simplifying

3x + 1 = 3[x + -1] + 4

Reorder the terms:

1 + 3x = 3[x + -1] + 4

Reorder the terms:

1 + 3x = 3[-1 + x] + 4

1 + 3x = [-1 * 3 + x * 3] + 4

1 + 3x = [-3 + 3x] + 4

Reorder the terms:

1 + 3x = -3 + 4 + 3x

Combine like terms: -3 + 4 = 1

1 + 3x = 1 + 3x

Add '-1' to each side of the equation.

1 + -1 + 3x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 0

0 + 3x = 1 + -1 + 3x

3x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 0

3x = 0 + 3x

3x = 3x

Add '-3x' to each side of the equation.

3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 0

This equation is an identity, all real numbers are solutions.

You might be interested in
Miguel's irrigation tank for his large garden held 45.5 gallons before he began to fill it at a rate of 17 gallons per minute. B
egoroff_w [7]

Answer:

Step-by-step explanation:

6 0
3 years ago
A loan of $16,840 is borrowed at 9% simple interest and is repaid with $4,167.90 interest. What is the duration of the loan?​
rewona [7]

9514 1404 393

Answer:

  2 3/4 years

Step-by-step explanation:

The interest is given by the formula ...

  I = Prt . . . . . . principal P at annual rate r for t years

Solving for t gives ...

  t = I/(Pr)

  t = 4167.90/(16840×0.09) = 2.75

The duration of the loan is 2 3/4 years.

5 0
3 years ago
How many athletes exercised more than 40 but less than 60 minutes
BaLLatris [955]
4.  When reading the stem and leaf plot the only values that fall between the range of  40 < x <60  is the 4 values of 45.  They are located at the tail end of the 4 stem after the zeros. The 40s and 60s are not counted because it is not mentioned equal to 40 or 60.
3 0
3 years ago
Read 2 more answers
Tracy walked for 3 1/2 miles . How many feet did she walk ?
marshall27 [118]

Answer:

18,480 feet

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
This scatterplot shows the mean number of people per square mile in the US during every tenth year since 1900.
Salsk061 [2.6K]

Answer:

C is the closest estimate

6 0
3 years ago
Other questions:
  • Not sure how to do this problem
    12·1 answer
  • 3 less than h is -12
    8·2 answers
  • Answer these five journal problems with the same 3 questions for each problem.
    5·1 answer
  • What is the next term in this geometric sequence?<br> 104, -52, 26, -13, ...
    15·1 answer
  • A 54 mile taxi ride takes 63 minutes and costs 37.80 You want to find the cost of a 27 mile taxi ride
    11·2 answers
  • .can somebody help me.with this question ​
    8·1 answer
  • The football and soccer teams at Juan's middle school are selling movie tickets. He wants to determine the average
    9·1 answer
  • Please helppp
    6·2 answers
  • What is the bionominal expansion of (x+2y)^7
    9·1 answer
  • Find the circumference r=14m
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!