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+3=0,2x+3y-4=0.

Answer 1

The vertices of the triangle are
(-1,2),(-3,0),(2,0)

also, the height of the vertex A form x-axis =2 units=h

also the length of base BC, b=5 units

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