Question

Solve the following system of equations graphically:
Shade the region between the lines and the y-axis

(i) 3x − 4y = 7
5x + 2y = 3

(ii) 4x − y = 4
3x + 2y = 14

Answer 1

The given equations are:

Putting in equation (i) we get:

Putting in equation (i) we get:

Use the following table to draw the graph.

Draw the graph by plotting the two points from table.

Putting in equation (ii) we get:

Putting in equation (ii) we get:

Use the following table to draw the graph.

Draw the graph by plotting the two points from table.

The two lines intersect at points of y−axis.

Hence, and is the Solution.

(ii) The equations are:

Putting in equation (1) we get:

Putting in equation (1) we get:

Use the following table to draw the graph:

Draw the graph by plotting the two points from table.

Putting in equation (2) we get:

Putting in equation (2) we get:

Use the following table to draw the graph.

x

Draw the graph by plotting the two points from table.

Two lines intersect at points of y−axis.

Hence and is the solution.