Solve the given system by substitution.
2 answers:
Answer:
Step-by-step explanation:
5m = 2/3m - 13
15m = 2m - 39
13m = -39
m = -3
n = 5(-3)
n = -15
(-3, -15)
Answer:
(-3, -15)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
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>
- Substitute in <em>n</em>: 5m = 2/3m - 13
- Subtract 2/3m on both sides: 13/3m = -13
- Divide 11/3 on both sides: m = -3
<u>Step 3: Solve for </u><em><u>n</u></em>
- Define equation: n = 5m
- Substitute in <em>m</em>: n = 5(-3)
- Multiply: n = -15
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