Question

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

Answer 1

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Explanation:

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Answer 2

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