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Sedaia [141]
3 years ago
14

Find the solution of the system of equations -6x + 5y = 34 -6x - 10y = 4 (_, _)

Mathematics
1 answer:
saul85 [17]3 years ago
7 0

Answer:

(-4, 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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

-6x + 5y = 34

-6x - 10y = 4

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

-6x + 5y = 34

  1. Multiply everything by -1:                    6x - 5y = -34

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

6x - 5y = -34

-6x - 10y = 4

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

<em>Elimination</em>

  1. Combine 2 equations:                    -15y = -30
  2. Divide -15 on both sides:                y = 2

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

  1. Define equation:                    -6x - 10y = 4
  2. Substitute in <em>y</em>:                       -6x - 10(2) = 4
  3. Multiply:                                  -6x - 20 = 4
  4. Add 20 on both sides:          -6x = 24
  5. Divide -6 on both sides:       x = -4
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