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
alexira [117]
3 years ago
10

Caitlyn needs to solve the equation: 2(3x+1)=3(2-x). after copying the problem correctly she uses the Properties of Algebra to s

olve for x in 5 steps. There is a reason the justifies each step. What is the justification that Caitlyn used for each step? Name each Property of Algebra.
Step 1 6x + 2 = 6 - 3x
Step 2 2 = 6 - 9x
Step 3 -4 = -9x
Step 4 4/9 = x
Step 5 x = 4/9
Mathematics
2 answers:
zhuklara [117]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

Step 1 6x + 2 = 6 - 3x    Distributive property of multiplication over addition

Step 2 2 = 6 - 9x    Subtraction property of equality

Step 3 -4 = -9x    Subtraction property of equality

Step 4 4/9 = x    Division property of equality

Step 5 x = 4/9   Symmetric property of equality

astra-53 [7]3 years ago
3 0

Answer:

x=49

Step-by-step explanation:

2(3x+1)=3(2−x)

Step 1: Simplify both sides of the equation.

2(3x+1)=3(2−x)

(2)(3x)+(2)(1)=(3)(2)+(3)(−x)(Distribute)

6x+2=6+−3x

6x+2=−3x+6

Step 2: Add 3x to both sides.

6x+2+3x=−3x+6+3x

9x+2=6

Step 3: Subtract 2 from both sides.

9x+2−2=6−2

9x=4

Step 4: Divide both sides by 9.

9x9=49

x=49

You might be interested in
Parallelogram JKLM is shown on the coordinate plane below:
LiRa [457]

The answer is J'(6, -2) M'(5,1)

4 0
3 years ago
Read 2 more answers
Write an inequality for the following statement. A is greater than 7
yarga [219]

Answer: A>7

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The Earth has a mass of about 6 x 10^24 kg. Neptune has a mass of 1.8 x 10^27kg. How many times bigger is Neptune than Earth
elena-s [515]

Answer:

300 times bigger.

Step-by-step explanation:

That would be (1.8 * 10^27 ) / (6 * 10^24)

= 0.3 * (10^27/10^24)

= 0.3 * 10^3

= 3 * 10^2

= 300.

5 0
3 years ago
Which statement is correct?
Pavel [41]

Answer:

i think the answer is a

Step-by-step explanation:

a yard = 3 feet

1 foot * 3 = yard

5 0
3 years ago
Read 2 more answers
What is the common denominator of 1/a+1/b in the complex fraction ((1/a-1/b)/(1/a+1/b)? A^2b^2 a-b a+b ab
S_A_V [24]

Answer:

  • D. ab

Step-by-step explanation:

  • 1/a + 1/b =
  • b / ab + a / ab =
  • (b + a) / ab

The common denominator is ab

Correct choice is D

7 0
3 years ago
Other questions:
  • Beyonce is solving a system of equations:
    11·1 answer
  • A bakery has one 200 kg bag of sugar. The bakery uses 6.25 kg of sugar each day. How much sugar will it use in 8 days? How many
    12·1 answer
  • Evaluate 6|5 - c| + 2c when c = 6
    5·2 answers
  • In a math class with 30 students, a test was given the same day that an assignment was due. There were 21 students who passed th
    9·1 answer
  • Which of the following describes the zeroes of the graph of f(x) = –x^5 + 9x^4 – 18x^3?
    11·1 answer
  • Someone please help me with this soon.
    5·1 answer
  • 14.4 Which Measure of Center to Use?
    12·1 answer
  • Find the length, x, of the third side of the triangle.​
    5·2 answers
  • Would you rather drink orange juice, expecting it to be milk, or drink milk expecting it to be orange juice?
    13·2 answers
  • Sam needs a bowll to mix her punch. She has a 2-cup bowl, a 4-cup bowl, and a 6-cup bowl. What is the smallest bowl Sam can use
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!