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stealth61 [152]
3 years ago
7

3.2(x−1)+1.5(2x−2)=7.44

Mathematics
1 answer:
lutik1710 [3]3 years ago
7 0

Answer:

x = 2.2

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>

3.2(x - 1) + 1.5(2x - 2) = 7.44

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

  1. Distribute:                         3.2x - 3.2 + 3x - 3 = 7.44
  2. Combine like terms:         6.2x - 6.2 = 7.44
  3. Isolate <em>x</em> term:                   6.2x = 13.64
  4. Isolate <em>x</em>:                            x = 2.2

<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>:                    3.2(2.2 - 1) + 1.5(2(2.2) - 2) = 7.44
  2. Multiply:                               3.2(2.2 - 1) + 1.5(4.4 - 2) = 7.44
  3. Subtract:                              3.2(1.2) + 1.5(2.2) = 7.44
  4. Multiply:                               3.84 + 3.6 = 7.44
  5. Add:                                     7.44 = 7.44

Here we see that 7.44 does indeed equal 7.44

∴ x = 2.2 is the solution to the equation.

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