Question:
Write an equation of a Line passing through the point representing solution of the pair of Linear equations x + y = 2 and 2x – y = 1, How many such lines
can we find?
Solution:
Plotting the points A (2,0) and B (0, 2), we get the straight line AB. Plotting the points C (0, – 1)andD (1/2, 0), we get the straight line CD. The lines
AB and CD intersect at E(1,1), Hence, infinite lines can pass through the intersection point of linear equations x + y = 2 and 2x – y = 1 i.e., E(1,1) like
as y = x, 2x + y = 3, x + 2y = 3. so on.