Question

Represent the following pair of equations graphically and write the coordinates of points where the lines intersects y-axis.

x + 3y = 6
2x − 3y = 12

Answer 1

The given equations are

Putting in equation (i) we get:

Putting in equationwe get:

Use the following table to draw the graph.

x

The graph of (i) can be obtained by plotting the two points.

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.

Graph of lines represented by the equations meet y−axis at respectively.