Q1 of 71 Page 56

Solve the following pair of linear equation in two variables (by graph)

x + y = 1, 3x + 3y = 2

Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on the line, take different values of x related to it, we get different values for y from the equation.

for x + y = 1


⇒ y = 1 – x



for, 3x + 3y = 2



Plotting these points on a graph and joining them, we get two straight lines.



From the graph, we can see that both lines are parallel and have no intersection points.


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