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Gnom [1K]
3 years ago
9

Solve the given system by substitution.

Mathematics
2 answers:
denis-greek [22]3 years ago
8 0

Answer:

Step-by-step explanation:

5m = 2/3m - 13

15m = 2m - 39

13m = -39

m = -3

n = 5(-3)

n = -15

(-3, -15)

alekssr [168]3 years ago
4 0

Answer:

(-3, -15)

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>

n = 5m

n = 2/3m - 13

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

<em>Substitution</em>

  1. Substitute in <em>n</em>:                                 5m = 2/3m - 13
  2. Subtract 2/3m on both sides:          13/3m = -13
  3. Divide 11/3 on both sides:                m = -3

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

  1. Define equation:                    n = 5m
  2. Substitute in <em>m</em>:                      n = 5(-3)
  3. Multiply:                                  n = -15
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