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]
4 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]4 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]4 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
Compute the directional derivative of the function g(x,y)= sin(π(x−5y)).
e-lub [12.9K]

Answer:

Step-by-step explanation:

The directional derivative of a function in a particular direction u is given as the dot product of the unit vector in the direction of u and the gradient of the function

g(x,y) = sin(π(x−5y)

∇g = [(∂/∂x)î + (∂/∂y)j + (∂/∂z)ķ] [sin(π(x−5y))

(∂/∂x) g = (∂/∂x) sin (πx−5πy) = π [cos(π(x−5y))]

(∂/∂y) g = (∂/∂y) sin (πx−5πy) = - 5π [cos (π(x−5y))]

∇g = π [cos(π(x−5y))] î - 5π [cos (π(x−5y))] j

∇g = π [cos (π(x−5y))] [î - 5j]

So, the question requires a direction vector and a point to fully evaluate this directional derivative now.

8 0
3 years ago
Write two numbers that multiply to the value on top and add to the value on bottom.
egoroff_w [7]

Answer:

<h2><em><u>8</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>3</u></em></h2>

<em>8 x 3 = 24</em>

<em>8 + 3 = 11</em>

7 0
3 years ago
Read 2 more answers
What is the answer to question 3. Letter A?
lutik1710 [3]
Your answer should be Line Graph.
6 0
3 years ago
Read 2 more answers
Help! Due in 5 minutes
kiruha [24]
A 4/6

b 1/3 is equivalent to 2/6 and 3/3 to 6/6 cant think of another one

c to find equivalent fractions just look at the number underneath?
7 0
3 years ago
Fabian plots the linear function f below.
Blizzard [7]

Answer:

it is d

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • You are doing annual inventory at the hardware store where you work. A box filled with brass connectors weighs 5 pounds 4 ounces
    5·1 answer
  • PLEASE HELP I don't understand at all please help
    6·1 answer
  • 4.0 divided by 0.02=
    12·2 answers
  • The equation T^2=A^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A
    6·1 answer
  • 3x+4y=12 and 2x-y=8. Which ordered pair is a solution to the system of equations?
    10·1 answer
  • What will go into both 13 and 52
    9·2 answers
  • 22. The product of two negative integers is the largest 2-digit number. If one of the numbers
    8·2 answers
  • If the denominator of 5/6 is increased by a number and the numerator is doubled, the result is 1, find the number
    5·1 answer
  • Algebra is confusing !! :(
    15·2 answers
  • Complete the following sentence.<br><br> A radius is________ <br> the diameter.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!