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Questions and Answers
What is the general form of a linear equation with n variables?
What is the general form of a linear equation with n variables?
- $a_{1}x_{1}+ ... +a_{n}x_{n}+b=0$ (correct)
- $a_{1}x_{1}+ ... +a_{n}x_{n}=b$
- $a_{1}x_{1}+ ... +a_{n}x_{n}+b=1$
- $a_{1}x_{1}+ ... +a_{n}x_{n}=0$
What are the solutions of a linear equation?
What are the solutions of a linear equation?
- Values that make the equality false when substituted for the unknowns
- Values that don't affect the equation
- Values that make the equality true when substituted for the unknowns (correct)
- Values that are not allowed in the equation
How can the solutions of a linear equation in two variables be interpreted?
How can the solutions of a linear equation in two variables be interpreted?
- As values that cannot be graphed
- As solutions in three-dimensional space
- As points on a line in the Euclidean plane
- As Cartesian coordinates of a point in the Euclidean plane (correct)
In the case of just one variable, how many solutions are there?
In the case of just one variable, how many solutions are there?
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What geometric shape do the solutions of a linear equation in two variables form?
What geometric shape do the solutions of a linear equation in two variables form?
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