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    Systems of Equations

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    Solve by graphing. Indicate whether each system is independent, inconsistent, or dependent.

    1. y= 2x-1
    x+y = 2

    2. 3x - y = 4
    3x - y = 0

    Solve each system by substitution method. Indicate whether each system is independent, inconsistent, or dependent.

    3. 3y = x + 5
    3x - 9y = -10

    4. x = 1/8y - 1
    y= 1/4x = 39

    Solve each system by the addition method. Indicate whether each system is independent, inconsistent, or dependent.

    5. x+3 (y-1)= 11
    2(x-y) +8y = 28

    6. 1/3x - 1/6y = 1/3
    1/6x + 1/4y = 0

    Solve each compound inequality. State the solution set using interval notation and graph it.

    7. X < 0 and x + 6>3

    8. - 1/2x < 6 or 2/3x < 4

    Solve each absolute value equation and graph the solution set

    9. I 2x-8 I = 0

    Solve each absolute value inequality and graph the solution set

    10. I x-7 I < -4

    11. 1 > ½ I 6-x I - ¾

    Graph each compound or absolute value inequality

    12. I x - 3y I > 9

    © BrainMass Inc. brainmass.com October 9, 2019, 9:37 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/191950

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    Solution Summary

    This shows how to solve systems of inequalities and equations, including independent/dependent/inconsistent systems.

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