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Anuta_ua [19.1K]
3 years ago
8

Solve the system: y = -2x + 9 y = 3x + 9

Mathematics
1 answer:
AnnZ [28]3 years ago
6 0

Answer:

(0, 9)

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  

Equality Properties

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

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

y = -2x + 9

y = 3x + 9

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                3x + 9 = -2x + 9
  2. [Addition Property of Equality] Add 2x on both sides:                                5x + 9 = 9
  3. [Subtraction Property of Equality] Subtract 9 on both sides:                      5x = 0
  4. [Division Property of Equality] Divide 5 on both sides:                                x = 0

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                                                                                             y = -2x + 9
  2. Substitute in <em>x</em>:                                                                                                y = -2(0) + 9
  3. Multiply:                                                                                                           y = 0 + 9
  4. Add:                                                                                                                 y = 9
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