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Klio2033 [76]
3 years ago
10

Find the value of a that makes the ordered pair a solution of the equation. 9x - 5y = -9;(a-1,9)

Mathematics
1 answer:
babunello [35]3 years ago
7 0

Answer:

a = 5

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

<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Terms/Coefficients

Coordinate Planes

  • Coordinates (x, y)
  • Equations

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

9x - 5y = -9

(a - 1, 9)

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

  1. Substitute in coordinate [Equation]:                                                                9(a - 1) - 5(9) = -9
  2. Evaluate [Order of Operations]:                                                                      9(a - 1) - 45 = -9
  3. [Addition Property of Equality] Add 45 on both sides:                                  9(a - 1) = 36
  4. [Division Property of Equality] Divide 9 on both sides:                                 a - 1 = 4
  5. [Addition Property of Equality] Add 1 on both sides:                                     a = 5
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