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spin [16.1K]
3 years ago
10

Use the substitution method to solve the system of equations. Choose the correct ordered pair. y=6x-4 y=7x-7

Mathematics
1 answer:
madreJ [45]3 years ago
8 0

Answer:

(3, 14)

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
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

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

Step-by-step explanation:

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

y = 6x - 4

y = 7x - 7

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

<em>Substitution</em>

  1. Substitute in <em>y</em> [1st Equation]:                                                                           6x - 4 = 7x - 7
  2. [Subtraction Property of Equality] Subtract 7x on both sides:                       -x - 4 = -7
  3. [Addition Property of Equality] Add 4 on both sides:                                     -x = -3
  4. [Division Property of Equality] Divide -1 on both sides:                                 x = 3

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

  1. Substitute in <em>x</em> [2nd Equation]:                                                                         y = 7(3) - 7
  2. Multiply:                                                                                                             y = 21 - 7
  3. Subtract:                                                                                                             y = 14
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