Question

Solve graphically the system of linear equations:

4x − 3y + 4 = 0
4x + 3y − 20 = 0

Find the area bounded by these lines and x-axis.

Answer 1

The given equations are

Putting in equation we get:

Putting in equation we get:

Use the following table to draw the graph.

The graph of (i) can be obtained by plotting the points (0, 4/3), (−1, 0).

Putting in equation we get:

Putting in equationwe get:

Use the following table to draw the graph.

Draw the graph by plotting the two points from table.

The two lines intersect at.

Hence is the solution of the given equations.

Now,

Required area = Area of PBD

Required area =

Required area =

Required area =

Hence, the area =