Q. 1 D5.0( 2 Votes )

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

x–y = 6, 3x – 3y = 18

Answer :

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 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


x—y = 6



for, 3x—3y = 18



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



From the graph, we can see that both lines coincide and hence there are infinite number of solutions.


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