Respuesta :

Space

Answer:

b. -84

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{a}{-7} - 7 = 5[/tex]

Step 2: Solve for a

  1. Addition Property of Equality:                    [tex]\displaystyle \frac{a}{-7} - 7 + 7 = 5 + 7[/tex]
  2. [Simplify] Add:                                             [tex]\displaystyle \frac{a}{-7}= 12[/tex]
  3. Multiplication Property of Equality:           [tex]\displaystyle -7 \cdot \frac{a}{-7} = 12 \cdot -7[/tex]
  4. [Simplify] Multiply:                                      [tex]\displaystyle a = -84[/tex]

Step 3: Check

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

  1. Substitute in a:                    [tex]\displaystyle \frac{-84}{-7} - 7 = 5[/tex]
  2. [Frac] Divide:                       [tex]\displaystyle 12 - 7 = 5[/tex]
  3. Subtract:                              [tex]\displaystyle 5 = 5[/tex]

Here we see that 5 does indeed equal 5.

∴ a = -84 is the solution to the equation.

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