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15 April, 23:43

Solving systems of equations : How do I solve these when 1 doesn't have an X and 2 doesn't have a Y.

1. 4x+Y<2

Y>-2

2. X (greater then or equal to) - 3

+1
Answers (1)
  1. 15 April, 23:46
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    1. 4x+Y<2

    Y>-2

    there are 2 inequalities with x and y (just y in the 2nd one)

    so the sol'n can be shown as a region of an x-y plot

    first reorganize the first eqn:

    4x+Y<2

    y < - 4x + 2

    so it represents the region underneath the line y = - 4x + 2

    then for y>-2:

    it the region above the horizontal line y = 2

    combining the two, the soln is the trianglular region underneath y = - 4x + 2 and above y = 2

    2. x > = - 3

    it represent the region right of the vertical line x = - 3 and including the line itself
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