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stiv31 [10]
3 years ago
14

What is the solution to this system of equations. Use any method you choose

Mathematics
1 answer:
Naddika [18.5K]3 years ago
7 0

Answer:

(7, 3)

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> </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>

4x + 3y = 37

y = x - 4

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                4x + 3(x - 4) = 37
  2. Distribute 3:                                                                                                    4x + 3x - 12 = 37
  3. Combine like terms:                                                                                       7x - 12 = 37
  4. [APE] Add 12 on both sides:                                                                           7x = 49
  5. [DPE] Divide 7 on both sides:                                                                        x = 7

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

  1. Define equation:                                                                                             y = x - 4
  2. Substitute in <em>x</em>:                                                                                                y = 7 - 4
  3. Subtract:                                                                                                           y = 3
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