SOLUTION: solve the system of inequalities y greater -3x 4y+2x less than are equal -2 Im not sure how to solve or graph this

Question 316606: solve the system of inequalities
y greater -3x
4y+2x less than are equal -2
Im not sure how to solve or graph this
Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
y > -3x

Simply treat the inequality as an equals sign, and graph the line y=-3x, but use a dotted line because it is just a > sign.

4y+2x < -2
Isolate for y:

4y < -2x - 2
y < -2x/4 -2/4
y < -x/2 -1/2

Treat this the same as y = -x/2 -1/2

Draw the 2 lines (the first one is dotted because it's less than, the second one is a solid line because it's less than or equal to).

Shade in the region that is above the y=-3x line and below the other line. The shared region should be a little triangle in the 4th quadrant (bottom right corner)
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