Master Linear Equations
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Questions and Answers

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

  • $a_1x_1 + \ldots + a_nx_n = b$
  • $a_1x_1 + \ldots + a_nx_n + b = 0$ (correct)
  • $x_1 + \ldots + x_n + b = 0$
  • $a_1x_1 + \ldots + a_nx_n = 0$

    • What are the solutions of a linear equation?

  • Values that make the equation false
  • Values that make the equation infinite
  • Values that make the equation undefined
  • Values that make the equation true (correct)

    • How many solutions does a linear equation with one variable have?

  • Infinitely many solutions
  • No solution
  • Two solutions
  • Exactly one solution (correct)

    • What happens if all the coefficients of a linear equation are zero?

    <p>The equation has no solutions</p> Signup and view all the answers

    What are the coefficients in a linear equation?

    <p>Real numbers</p> Signup and view all the answers

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

    <p>$2x + 3 = 0$</p> Signup and view all the answers

    What are the variables in a linear equation?

    <p>$x_1, ..., x_n$</p> Signup and view all the answers

    What are the coefficients in a linear equation?

    <p>$a_1, ..., a_n$</p> Signup and view all the answers

    How many solutions does a linear equation with two variables have?

    <p>Infinitely many solutions</p> Signup and view all the answers

    What happens if all the coefficients of a linear equation are zero?

    <p>The equation has no solution</p> Signup and view all the answers

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