This is the basic and conceptual question from linear equations in two variables in which we have been asked to show graphically that the following given systems of equations has indefinitely many solutions from the given equations 2x+3y=6, 4x+6y=12
Kindly Solve the above the question
RS Aggarwal, Class 10, chapter 3A, question no 22
2x+3y=6….(1)
4x+6y=12……(2)
Isolate x from equation (1) and find the value of x and y.
2x+3y=6
or x=(6−3y)/2
Similarly, isolate x from equation (2) and find the values of x and y.
4x+6y=12
or x=(12−6y)/4
Graph:
From the graph, we can see that, all the points lie on the same straight line.
Which shows that, system has infinite many solutions.