Ask Question
11 July, 12:24

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

+5
Answers (2)
  1. 11 July, 12:35
    0
    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
  2. 11 July, 12:54
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Caitlyn needs to solve the equation: 2 (3x+1) = 3 (2-x). after copying the problem correctly she uses the Properties of Algebra to solve ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers