1.   Solve the system of equations by elimination.

2x + y - z = 3
x + y + z = 5
x - 2y + z = 2

    A. (2, 1, 2) B. (1, 1, 2)
    C. (1, 2, 1) D. (2, 2, 1)
    Hint

  2.   The equation 2x - y + 3z = 5 represents _____________
    A. a circle. B. none of these.
    C. a plane. D. a line.
    Hint

  3.   Three planes can
    A. All of the choices are true. B. intersect at one point.
    C. have no points in common. D. intersect in a line.
    Hint

  4.   Solve the system of 3 equations by substitution.

x = 3y + 2z
2x + 3y + 2z = 3
-x + y - z = 6

    A. (8, 4, -2) B. infinite solutions
    C. (1, 3, -4) D. no solution
    Hint

  5.   Solve the system of three equations by elimination:

5x + 2y - 3z = 10
2x - 2y + 4z = 6
x - y + 2z = 3

    A. no solution B. (3, 4, 2)
    C. infinite solutions D. (2, -5, 3)
    Hint



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