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Questions and Answers
What is the standard form of a linear equation?
What is the standard form of a linear equation?
- $a_{1}x_{1}+...+a_{n}x_{n}+b=1$
- $a_{1}x_{1}+...+a_{n}x_{n}+b=0$ (correct)
- $a_{1}x_{1}+...+a_{n}x_{n}=b$
- $x_{1}+...+x_{n}=b$
What are the solutions of a linear equation?
What are the solutions of a linear equation?
- Values that make the coefficient equal to 1
- Values that do not contain any of the variables
- Values that result in a negative coefficient
- Values that satisfy the equation when substituted for the unknowns (correct)
When is there exactly one solution in the case of just one variable?
When is there exactly one solution in the case of just one variable?
- When the coefficient $a_1$ is equal to 0
- When the coefficient $a_1$ is greater than 0 (correct)
- When the coefficient $a_1$ is less than 0
- When the coefficient $a_1$ is not a real number
What does each solution of a linear equation in two variables represent?
What does each solution of a linear equation in two variables represent?
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How can the solutions of a linear equation be visualized in the Euclidean plane?
How can the solutions of a linear equation be visualized in the Euclidean plane?
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