Question

Draw the graphs of the lines represented by the equations x + y = 4 and 2x - y = 2 in the same graph. Also find the coordinate of the point where the two lines intersect. 

Answer 1

Given equations are x + y = 4 ......(i) & 2x - y = 2 ......(ii) 

(i) We have y = 4 - x 

(ii) We have y = 2x - 2 

By drawing the lines on a graph paper, clearly we can say that P is the point of intersection where coordinates are x = 2, y = 2