Question

Can "elimination method" be used to find the solution of an equation with infinitely many solutions?
Class 10 , Maths​

Answer 1

Answer:

yes it is possible

let us take an example of equation 3x+2y=5 and 6x+4y=10

3x+2y=5 6x+4y=10 This system of equations is clearly redundant. You can 3x+2y=5 6x+4y=10 This system of equations is clearly redundant. You can create one equation from the other by just multiplying through by a constant. In other words, they convey the same information. Despite there being two equations for the two unknowns, x and y, the solution of this system can’t be narrowed down to one value for x and one value for y. (x,y)=(1,1) and (5/3,0) both solve it, as do many more solutions. This is the sort of “problem,” this insufficiency of information, that leads to an infinite number of solutions in larger systems of equations as well. through by a constant. In other words, they convey the same information. Despite there being two equations for the two unknowns, x and y, the solution of this system can’t be narrowed down to one value for x and one value for y. (x,y)=(1,1) and (5/3,0) both solve it, as do many more solutions. This is the sort of “problem,” this insufficiency of information, that leads to an infinite number of solutions in larger systems of equations as well.