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PSYCHO15rus [73]
2 years ago
5

Please help meeeeeeeeeeeeedirections: use substitution to solve the solution

Mathematics
1 answer:
dimaraw [331]2 years ago
3 0

Answer:

(-3, 13)

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>

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

Step-by-step explanation:

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

y = -4x + 1

11y = x + 146

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                   11(-4x + 1) = x + 146
  2. Distribute 11:                                                                                                     -44x + 11 = x + 146
  3. [Addition Property of Equality] Add 44x on both sides:                              11 = 45x + 146
  4. [Subtraction Property of Equality] Subtract 146 on both sides:                  -135 = 45x
  5. [Division Property of Equality] Divide 45 on both sides:                             -3 = x
  6. Rewrite/Rearrange:                                                                                             x = -3

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

  1. Define original equation:                                                                                  y = -4x + 1
  2. Substitute in <em>x</em>:                                                                                                   y = -4(-3) + 1
  3. Multiply:                                                                                                           y = 12 + 1
  4. Add:                                                                                                                      y = 13
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