Question

Draw the graphs of the equations 3x –2y = 4 and x + y –3 = 0 in the same graph paper. Find the coordinates of the point where two lines intersect.

Answer 1

Step-by-step explanation:

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).