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Lynna [10]
2 years ago
6

0.2x + 1 = 1.6x + 3.1 What value of x satisfies the equation above?

Mathematics
2 answers:
guapka [62]2 years ago
5 0

Answer:

x = -1.5

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

0.2x + 1 = 1.6x + 3.1

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

  1. Subtract 0.2x on both sides:          1 = 1.4x + 3.1
  2. Subtract 3.1 on both sides:             -2.1 = 1.4x
  3. Divide both sides by 1.4:                 -1.5 = x
  4. Rewrite:                                            x = -1.5

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitution:                    0.2(-1.5) + 1 = 1.6(-1.5) + 3.1
  2. Multiply:                           -0.3 + 1 = -2.4 + 3.1
  3. Add:                                 0.7 = 0.7
bagirrra123 [75]2 years ago
5 0
Your answer is -1.5
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