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:
$2x-5y+4=0,2x+y-8=0.$

Answer 1

The vertices are (-2,0),(4,0),(3,2)

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

b = 6 units

h = 2 units

$Area=\frac{1}{2}bh=\frac{1}{2}\times 6\times 2=6sq.units$