Question

In each of the following systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it

2x + y = 5
4x + 2y = 10

Answer 1

GIVEN:

To find: To determine whether the system has a unique solution, no solution or infinitely many solutions

We know that the system of equations

For unique solution

For no solution

For infinitely many solution

Here,

Since which means hence the system of equation has infinitely many solution.

Hence the system of equation has infinitely many solutions