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ehidna [41]
2 years ago
14

Solve the system: -5x+6y=55 4x+3y=34 Write down your solution.

Mathematics
1 answer:
svetlana [45]2 years ago
4 0

Answer:

(1, 10)

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

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

-5x + 6y = 55

4x + 3y = 34

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

4x + 3y = 34

  1. Multiply everything by -2:                    -8x - 6y = -68

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

-5x + 6y = 55

-8x - 6y = -68

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

<em>Elimination</em>

  1. Combine equations:                    -13x = -13
  2. Divide -13 on both sides:             x = 1

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

  1. Define equation:                    4x + 3y = 34
  2. Substitute in <em>x</em>:                       4(1) + 3y = 34
  3. Multiply:                                  4 + 3y = 34
  4. Isolate <em>y</em> term:                        3y = 30
  5. Isolate <em>y</em>:                                 y = 10
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