Question

Determine, graphically whether the system of equations x − 2y = 2, 4x − 2y = 5 is consistent or in-consistent.

Answer 1

The given equations are

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.

Putting in equation we get:

Putting in equationwe get:

Use the following table to draw the graph.

	0	5/4
	–5/2	0

Draw the graph by plotting the two points from table.

It has unique solution.

Hence the system of equations is consistent