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  1. solve the system by using a table

    { -0.6x - 0.6y = -0.6
    0.5x - 0.3y = -2.7 }

    a. (4,-3)
    b. (-3,4)
    c. (-4,-3)
    d. (-3,-4)

    2. without graphing, is the system independent, dependent, or inconsistent?
    { 12x + 3y = 12
    y = -4x +5 }

Verified Answer :

nobillionaireNobley

x    | -0.6x - 0.6y = -0.6 | 0.5x - 0.3y = -2.7 |
      |            y                |            y
-4   |           5                |            2 1/3
-3   |           4                |            4

From the table, solution is (-3, 4)

12x + 3y = 12 => 3(4x + y) = 12. . . (1)
y = -4x + 5 => 4x + y = 5 . . . (2)

Since, the left hand side of (2) is a factor of the left hand side of (1), the system is dependent.

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