Algebra Class Quiz: Systems of Equations
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Questions and Answers

What is the sum of the values of x and y for the equation system 3x + 4y = 2 and 5x + 3y + 4 = 0?

  • 10 (correct)
  • 5
  • 9
  • 8 (correct)

    • If 2x + 5y = 120 and 8x - 9y + 100 = 0 have a solution of (x, y) = (6, 10), what is the value of 4x + 3y?

  • 60
  • 75
  • 85
  • 90 (correct)

    • What is the coefficient of y in the second equation of the system 3x + 4y = 2 and 5x + 3y + 4 = 0?

  • -3
  • 4
  • 0
  • 3 (correct)

    • In the provided examples, if the equations are rearranged into the form y = mx + b, what will be the slope (m) when solving for y in 2x + 5y = 120?

    <p>-0.4</p> Signup and view all the answers

    What does the presence of a term like +100 in the equation 8x - 9y + 100 = 0 imply about y when solving for it?

    <p>y can take on any real value.</p> Signup and view all the answers

    Which pair of values is a solution for the equation $2x + 3y = 17$?

    <p>(x=4, y=3)</p> Signup and view all the answers

    What is the resulting value of y when x = 2 in the equation $5x + 2y = 16$?

    <p>4</p> Signup and view all the answers

    Which solution pair did not satisfy the equation $9x - 8y = 12$?

    <p>(x=6, y=7)</p> Signup and view all the answers

    Which equation corresponds to the solution (x=3, y=2)?

    <p>$x + y = 16$</p> Signup and view all the answers

    Which of the following equations contains no solutions among the given pairs?

    <p>$10x + 15y = -5$</p> Signup and view all the answers

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