Question

Draw the graphs of the following equations on the same graph paper.

2x + 3y = 12,
x − y = 1

Find the coordinates of the vertices of the triangle formed by the two straight lines and the y-axis.

Answer 1

The given equations are

Putting in equation we get:

Putting in equation we 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.

Draw the graph by plotting the two points from table.

Draw the graph by plotting the two points from table.

The intersection point is P(3, 2)

Three points of the triangle are.

Hence the value of and