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Questions and Answers
A consistent system of equations has at least one solution.
A consistent system of equations has at least one solution.
True
A system of independent equations has indefinite solutions.
A system of independent equations has indefinite solutions.
False
An inconsistent system of independent equations has zero solutions.
An inconsistent system of independent equations has zero solutions.
True
Is 5x + 2y = 4, 4x + y = 11 a solution?
Is 5x + 2y = 4, 4x + y = 11 a solution?
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Is 3x + 2y = 13, 4x - 3y = -11 a solution?
Is 3x + 2y = 13, 4x - 3y = -11 a solution?
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Is 2x - 5y = -22, 3x - 2y = -22 a solution?
Is 2x - 5y = -22, 3x - 2y = -22 a solution?
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What are the coordinates for number 7 on the graph paper?
What are the coordinates for number 7 on the graph paper?
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What are the coordinates for number 8?
What are the coordinates for number 8?
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What is the solution for the system x - y = 3 and 2x + y = -6?
What is the solution for the system x - y = 3 and 2x + y = -6?
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Study Notes
Systemata aequationum
- Systema consistentium aequationum habet saltem unam solutionem.
- Systema independens aequationum non habet solutiones indefinitas; potius dicitur esse dependentium.
Systemata inconsistente
- Systema inconsistente aequationum independens non habet solutiones (Zero solutions).
Solutiones et non solutiones
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Pro example, pro aequationibus 5x + 2y = 4 et 4x + y = 11:
- Cum x = 2 et y = -3, aequatio 5(2) - 2(-3) = 4 verum est, sed 4(2) - 3 non = 11; igitur, non est solutio.
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Pro aequationibus 3x + 2y = 13 et 4x - 3y = -11:
- Cum x = 1 et y = 5, 3(1) + 10 = 13 et 4(1) - 15 = -11; igitur, haec est solutio.
Exempla non solucionum
- Pro aequationibus 2x - 5y = -22 et 3x - 2y = -22:
- Cum x = -6 et y = -2, -12 + 10 non = 22; igitur, non est solutio.
Puncta in graphico
- Puncta quae referuntur:
- Punctum 7: (2, -4)
- Punctum 8: (-6, 1)
Solutio specifica
- Pro aequationibus x - y = 3 et 2x + y = -6, solutio est (-1, -4).
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Description
Hic quiz in Algebram 1 tractat systems aequationum. Investigabitur veritatem et falsitatem propositionum, et definientur solutiones quaestionum specificarum. Paratus est ad provocationem tuam in re algebraica!
