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denis-greek [22]
3 years ago
12

Solve the system of linear equations using Substitution 5x + 2y= 9 y = -x-3

Mathematics
1 answer:
Naddik [55]3 years ago
4 0

Answer:

(5, -8)

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  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<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>

5x + 2y = 9

y = -x - 3

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                 5x + 2(-x - 3) = 9
  2. [Distributive Property] Distribute 2:                                                                5x - 2x - 6 = 9
  3. Combine like terms:                                                                                        3x - 6 = 9
  4. [Addition Property of Equality] Add 6 on both sides:                                   3x = 15
  5. [Division Property of Equality] Divide 3 on both sides:                                 x = 5

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

  1. Define original equation:                                                                                y = -x - 3
  2. Substitute in <em>x</em>:                                                                                                 y = -5 - 3
  3. Subtract:                                                                                                          y = -8
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