SOLUTION: Determine graphically the vertices of the triangle, the equation of whose sides are given as y=x; y=0; 2x+3y=10?

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Question 139351: Determine graphically the vertices of the triangle, the equation of whose sides are given as y=x; y=0; 2x+3y=10?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
You are looking for three points of intersection:
First, the intersection of: y=x and y=0
Second, the intersection of: y=x and 2x%2B3y=10
Third, the intersection of: y=0 and 2x%2B3y=10
So solve the three systems of equations to find your three points. Given the simplicity of two of the equations, the substitution method would be best for all three systems, but the question asks for a graphical solution. My approach would be to solve all three systems by substitution, plot the three points of intersection, and then draw the lines. You have to calculate two points for each line anyway, so why deal with 6 points when you can accomplish the same goal with 3?