Question

Draw the graph of 3x-2y=4 and x+y=3 on the same graph and find the co-ordinates of the intersecting points

Answer 1

Sol:

Draw x-axis and y-axis on a graph and mark their point of intersection as origin.
Mark the divisions on both the axes.

Mark the following points to draw the line 3x - 2y = 4 on the graph:
Let x = 0 ⇒ y = -2  ------- (0, -2)
Let y = 1 ⇒ y = 2  -------- (1, 2)

Mark the following points to draw the line x + y - 3 = 0 on the graph:
Let x = 0 ⇒ y = 3  ------- (0, 3)
Let y = 0 ⇒ y = 3  ------- (3, 0)

Draw lines joining the above points.

Notice that the coordinates of the point of intersection of the straight lines are (2, 1).

Answer 2

The coordinate on the intersecting points are 2,1