SOLUTION: Can you helpt me with the following problem? 1. Determine graphically the vertices of the triangle, the equation of whose sides are given as y=x;y=0; 2x+3y=10. Interpret the r

Algebra ->  Graphs -> SOLUTION: Can you helpt me with the following problem? 1. Determine graphically the vertices of the triangle, the equation of whose sides are given as y=x;y=0; 2x+3y=10. Interpret the r      Log On


   

Question 130908: Can you helpt me with the following problem?
1. Determine graphically the vertices of the triangle, the equation of whose sides are given as y=x;y=0; 2x+3y=10. Interpret the result.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Determine graphically the vertices of the triangle, the equation of whose sides are given as y=x;y=0; 2x+3y=10. Interpret the result.
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%2C0%2C%28-2%2F3%29x%2B%2810%2F3%29%29
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Vertices:
Intersection of y=x and 2x+3y=10
Substitute to get:
2y+3y=10
5y=10
y=2
Therefore x=2
Intersection point is (2,2)
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x-intercept of 2x+3y=10
Let y=0, then x = 5
Intersection point is (5,0)
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Intersection of y=0 and y=x
(0,0)
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Cheers,
Stan H.