SOLUTION: find the area of the trash dump formed by the intersection of the lines x=-2, y=3x-7, 2x+y=2

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Question 337920: find the area of the trash dump formed by the intersection of the lines x=-2, y=3x-7, 2x+y=2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

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Find the intersection points.
y=3%28-2%29-7=-6-7=-13
(-2,-13)
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y=-2%28-2%29%2B2=4%2B2=6
(-2,6)
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3x-7=-2x%2B2
5x=9
x=9%2F5
y=-2x%2B2
y=-18%2F5%2B10%2F5
y=-8%2F5
(9/5,-8/5)
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For the area of the triangle we need the height and the base.
Base : b=6-%28-13%29=19
Height: h=9%2F5-%28-2%29=9%2F5%2B10%2F5=19%2F5
A=%281%2F2%29bh
A=%281%2F2%29%2819%29%2819%2F5%29
A=361%2F10