SOLUTION: the graphs of the three equations below from a triangle. Find the coordinates of the triangle's vertices 4x+y=1 2x-y=5 3y+3x=12

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the graphs of the three equations below from a triangle. Find the coordinates of the triangle's vertices 4x+y=1 2x-y=5 3y+3x=12      Log On


   

Question 413838: the graphs of the three equations below from a triangle. Find the coordinates of the triangle's vertices
4x+y=1
2x-y=5
3y+3x=12
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
All of the lines have different slopes, so any two lines will intersect at exactly one vertex. To find the vertex defined by, for example, 4x+y = 1 and 2x-y = 5, solve them as if you are solving a system of two equations. Repeat this for the other two pairs of equations (it's somewhat tedious, but it's the only way...).