Q1 of 71 Page 56

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

2x + y = 8, x + 6y = 15

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.


We get the following tables for the given linear equations.


For 2x + y = 8


y = 8 – 2x



For x + 6y = 15


x = 15 – 6y




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


From the graph, we can see that both lines intersect at (3, 2), hence the solution to this pair is (3, 2).


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