Q4 of 71 Page 56

Examine graphically whether the pair of equations 2x + 3y = 5 and is consistent

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


2x + 3y = 5



for



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



From the graph, we can see that both lines coincide.


⇒ They don’t have consistent solutions.


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