Respuesta :

PirateApple

Answer:

x = 9.7

Step-by-step explanation:

2.7x -9 = x +7.5

2.7x - x = 7.5 + 9

1.7x = 16.5

x = 16.5/1.7

x = 9.7

Space

Answer:

x = 9.70588

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

Step 1: Define equation

2.7x - 9 = x + 7.5

Step 2: Solve for x

  1. Subtract x on both sides:                    1.7x - 9 = 7.5
  2. Add 9 on both sides:                           1.7x = 16.5
  3. Divide 1.7 on both sides:                     x = 9.70588

Step 3: Check

Substitute in x into the original equation to verify it's a solution.

  1. Substitute in x:                    2.7(9.70588) - 9 = 9.70588 + 7.5
  2. Multiply:                               26.2059 - 9 = 9.70588 + 7.5
  3. Subtract/Add:                      17.2059 = 17.2059

Here we see that 17.2059 does indeed equal 17.2059.

∴ x = 9.70588 is a solution of the equation.

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