Question

Solve each of the following given systems of equations graphically and find the vertices and area of the triangle formed by these lines and the x-axis:

$x-y+1=0,3x+2y-12=0.$

Answer 1

From above the graph,

Vertices of the triangle formed by these lines and the x-axis are (-1,0),(4,0),(2,3).

$Area=\frac{1}{2}bh$

b = 5 units (from the graph)

h = 3 units (from the graph)

$Area=\frac{1}{2}bh=\frac{1}{2}\times 5\times 3=7.5sq.units$