Question

Show graphically that each one of the following systems of equations is in-consistent (i.e. has no solution) :

3x − 4y − 1 = 0
$2x-\frac{8}{3}y+5=0$

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 two points_.

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.

Here, the two lines are parallel.

Hence the given system of equations is inconsistent.