Master Linear Equations
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Questions and Answers

Which of the following is the correct form of a linear equation?

  • a1x1 + a2x2 + b = 0
  • a1x1 + a2x2 + ... + anx = 0 (correct)
  • a1x1 + a2x2 + a3x3 + ... + anx = b
  • a1x1 + a2x2 + a3x3 = 0

Which of the following is NOT a requirement for a linear equation?

  • The variables must be distinct (correct)
  • The coefficients must not all be zero
  • The coefficients cannot contain any of the variables
  • The coefficients must be real numbers

How many solutions does a linear equation with just one variable have, provided that a1 ≠ 0?

  • Infinitely many solutions
  • Cannot be determined
  • Exactly one solution (correct)
  • No solution

Which of the following best describes a linear system of equations?

<p>A collection of one or more equations involving the same variables (D)</p> Signup and view all the answers

What is a solution to a linear system of equations?

<p>An assignment of values to the variables that satisfies all the equations (D)</p> Signup and view all the answers

What does the word 'system' indicate in the context of linear equations?

<p>The equations are to be considered collectively (B)</p> Signup and view all the answers

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