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vekshin1
2 years ago
15

6 ( x - 1 ) = 9( x - 4 ) solve for xI'm giving points pls answer fast​

Mathematics
1 answer:
Alex2 years ago
6 0

Answer:

x = 10

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

6(x - 1) = 9(x - 4)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   6x - 6 = 9x - 36
  2. Subtract 6x on both sides:        -6 = 3x - 36
  3. Isolate <em>x</em> term:                             30 = 3x
  4. Isolate <em>x</em>:                                      10 = x
  5. Rewrite:                                       x = 10

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    6(10 - 1) = 9(10 - 4)
  2. Subtract:                              6(9) = 9(6)

Here we see that the 2 expressions are exactly the same.

∴ x = 10 is the solution to the equation.

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