Question

Solve the following system of linear equations graphically.

4x − 5y − 20 = 0
3x + 5y − 15 = 0

Determine the vertices of the triangle formed by the lines representing the above equation and the y-axis.

Answer 1

The given equations are:

Putting in equation we get:

Putting in equation (i) we get:

Use the following table to draw the graph.

x	0	5
y		0

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.

x	0	5
y	3	0

Draw the graph by plotting the two points from table.

The three vertices of the triangle are.

Hence the solution of the equation is and