Respuesta :

isabel31600
The answer is 0.3, (5.3a-0.8)-(1.6-4.7a)=2a-(a-0.3) everything cancels out and all that is left is 0.3
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Answer:

a = 0.3

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

Step 1: Define equation

(5.3a - 0.8) - (1.6 - 4.7a) = 2a - (a - 0.3)

Step 2: Solve for a

  1. Distribute negative:                    5.3a - 0.8 - 1.6 + 4.7a = 2a - a + 0.3
  2. Combine like terms:                   10a - 2.4 = a + 0.3
  3. Subtract a on both sides:           9a - 2.4 = 0.3
  4. Add 2.4 on both sides:               9a = 2.7
  5. Divide 9 on both sides:              a = 0.3

Step 3: Check

Plug in a to verify it's a solution.

  1. Substitute:                    (5.3(0.3) - 0.8) - (1.6 - 4.7(0.3)) = 2(0.3) - (0.3 - 0.3)
  2. Multiply:                        (1.59 - 0.8) - (1.6 - 1.41) = 0.6 - 0
  3. Subtract:                       0.79 - 0.19 = 0.6
  4. Subtract:                       0.6 = 0.6

Here we see that 0.6 does indeed equal 0.6.

∴ a = 0.3 is a solution of the equation.

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