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:

$x-2y+2=0,2x+y-6=0.$

Answer 1

The vertices of the triangle are (2,2),(3,0),(-2,0)

From graph ,we can see the height of the triangle = 2 units
length of the base = 5units

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