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balandron [24]
3 years ago
11

Which is the solution to the system of equations?

Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

Answer:

D. (-1, 3/2)

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>

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

Step-by-step explanation:

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

4x + 2y = -1

3x + 4y = 3

<u>Step 2: Rewrite System</u>

4x + 2y = -1

  1. [Multiplication Property of Equality] Multiply -2 on both sides:                     -2(4x + 2y) = 2
  2. [Distributive Property] Distribute -2 on both sides:                                        -8x - 4y = 2

<u>Step 3: Redefine Systems</u>

-8x - 4y = 2

3x + 4y = 3

<u>Step 4: Solve for </u><em><u>x</u></em>

  1. Combine equations:                                                                                         -5x = 5
  2. [Division Property of Equality] Divide -5 on both sides:                                x = -1

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em> [Original Equation]:                                                                  3(-1) + 4y = 3
  2. Multiply:                                                                                                             -3 + 4y = 3
  3. [Addition Property of Equality] Add 3 on both sides:                                     4y = 6
  4. [Division Property of Equality] Divide 4 on both sides:                                  y = 3/2
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