Question 742167
the graphs of y - 2x = 1, 4x + y = 7, and 2y - x = -4 contain the sides of the triangle. Find the coordinates and vertices of the triangle
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Coordinates of the vertices?
They're the intersections of the 3 lines.
Solve the pairs of eqns 2 at a time.
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y - 2x = 1 --> y = 2x + 1
4x + y = 7
Sub for y in the 2nd eqn
4x + (2x+1) = 7
x = 1
y = 3
--> (1,3)
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2y - x = -4
4x + 7 = 7
Solve for the intersection.
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2y - x = -4
y - 2x = 1
Solve for the 3rd vertex.