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
natulia [17]
3 years ago
10

: Which equations have an infinite number of solutions? Select all that apply. A -2(x - 2) + 3x = x - 4 B 2x + 4(x - 1) = 3(2x +

1) - 2(x - 1) C 3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4 D 4(x + 2) + x + 1 = 2x - 3 + 3(x + 4)
Mathematics
1 answer:
MissTica3 years ago
3 0

Option C and Option D

3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4 has infinite number of solutions

4(x + 2) + x + 1 = 2x - 3 + 3(x + 4) has infinite number of solutions

<h3><u>Solution:</u></h3>

Given that we have to find the equations that has infinite number of solutions

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions.

If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

<h3><u>Option A</u></h3>

-2(x - 2) + 3x = x - 4

Multiply the terms inside the bracket

-2x + 4 + 3x = x - 4

x + 4 = x - 4

Thus this equation does not have infinite number of solutions

<h3><u>Option B</u></h3>

2x + 4(x - 1) = 3(2x + 1) - 2(x - 1)

2x + 4x - 4 = 6x + 3 - 2x + 2

6x - 4 = 4x + 5

6x - 4x = 5 + 4

2x = 9

x = \frac{9}{2}

Thus this equation has only one solution.

Thus this equation does not have infinite number of solutions

<h3><u>Option C</u></h3>

3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4

3x + 2x - 4 + 6 = 4x + 6 + x - 4

5x + 2 = 5x + 2

Thus this equation has infinite number of solutions

<h3><u>Option D</u></h3>

4(x + 2) + x + 1 = 2x - 3 + 3(x + 4)

4x + 8 + x + 1 = 2x - 3 + 3x + 12

5x + 9 = 5x + 9

Thus this equation has infinite number of solutions

You might be interested in
Rearrange the formula a^2 + b^2 = c^2 for a.
diamong [38]

First, subtract the term b^2 from the both sides of the equation to isolate a^2. Then, take the square root of both sides of the equation so "a" is completely isolated. And voila! You should have the simplified version of this formula.

5 0
3 years ago
Read 2 more answers
Geno had a gift card for $40. He bought a DVD for $19.50. He spent the remaining amount on two video games. To find the cost of
Makovka662 [10]

Answer:

The answer is D

Step-by-step explanation:

7 0
3 years ago
What is the percent change of 100 acres to 140 acres
Georgia [21]
You multiply 100 by 140%, so basically you add 40% of 100, which is 40.
8 0
3 years ago
Read 2 more answers
Factor: 6x^2 + 11x + 3<br><br> Write each factor in standard form.
yKpoI14uk [10]
The answer is: (2x+3) (3x+1)
8 0
3 years ago
A pilot took 1/2 hours to complete his 1/3 pf his ttip how much longer will it take him to complete his trip?
Norma-Jean [14]

Answer:

1.5 hours

Step-by-step explanation:

1/2 + 1/2 + 1/2 =1.5

7 0
3 years ago
Other questions:
  • An item is priced at $13.59. If the sales tax is 8%, what does the item cost including sales tax?
    10·1 answer
  • Is It Safer To Drive Or Get On A Plane?
    9·2 answers
  • I need help with questions 20 through 25
    14·1 answer
  • If y varies directly with x and x=21 and y=14, what is the constant of proportionality? Write your answer as a fraction.
    12·1 answer
  • Given a line with a slope of -1/5, what is the slope of any lines that lies perpendicular to it?
    7·1 answer
  • Please help solve! I tried but I’m messing this up, would really appreciate it!
    6·1 answer
  • I need help ASAP please!! Giving brainliest
    9·2 answers
  • Karen has 3 quarts of apple juice. To equally pour 32 cups of apple juice for her preschool class she needs 2 gallons of apple j
    6·1 answer
  • F(2) I will give brainliest if answered pls
    13·1 answer
  • Select the correct answer from each drop-down menu.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!