What is the value of the x variable in the solution to the following system of equations?

2x − y = 6
4x − 2y = 12

0

4

x can be any number as there are infinitely many solutions to the system.

There is no x value as there is no solution to the system.

Question

What is the value of the x variable in the solution to the following system of equations?

2x − y = 6
4x − 2y = 12

 0

 4

 x can be any number as there are infinitely many solutions to the system.

 There is no x value as there is no solution to the system.

anonymous · Answer

Actually when you multiply first equation by 2 so you will get 2nd equation:

2(2x - y = 6)

4x - 2y = 12

This is same as second equation..

So, these are overlapping parallel lines and hence there is infinitely many solutions or values of x..