Question

Solve the following system of equations graphically:

2 − − 2 = 0 2 + − 6 = 0, hence find the area of triangle

formed along X-axis.​

Answer 1

Answer:

2x+y=6

⟹y=6−2x

Let, x=1, then y=6−2(1)=4

Similarly, when x=2,y=2

x−2y+2=0

⟹x=2y−2

Let, y=0, then x=2(0)−2=−2

Similarly, when y=2,x=2

Plotting the above points on the graph, we get, the vertices of the traingle, i.e. A(2,3),B(3,0),C(−2,0)

∴ Area of the triangle =

2

1

×5units×2units

=5 sq. units