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Linear Equations Quiz
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Linear Equations Quiz

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@PoliteWisdom

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Questions and Answers

What is required for a meaningful linear equation with n variables?

  • At least one coefficient is zero
  • Not all coefficients are zero (correct)
  • All coefficients are zero
  • At least one variable is zero
  • What is the general form of a linear equation with n variables?

  • $a_{1}x_{1}+a_{n}x_{n}+b=0$
  • $a_{1}x_{1}+a_{2}x_{2}+...+a_{n}x_{n}=0$
  • $a_{1}x_{1}+ ext{...}+a_{n}x_{n}+b=0$ (correct)
  • $a_{1}x_{1}+a_{2}x_{2}+...+a_{n}x_{n}=b$
  • How many solutions does a linear equation with just one variable have?

  • Infinitely many solutions
  • No solution
  • Exactly two solutions
  • Exactly one solution (if $a_{1} \neq 0$) (correct)
  • What can be interpreted as the solutions of a linear equation in two variables?

    <p>Cartesian coordinates of a point in the Euclidean plane</p> Signup and view all the answers

    What geometric shape do the solutions of a linear equation form in the Euclidean plane?

    <p>A line</p> Signup and view all the answers

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