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

3x + y = 6
6x + 2y = 8

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?

3x + y = 6
6x + 2y = 8

 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

there is no x value as there is no solution to the system; solve 3x + y = 6 for y, getting y = 6 - 3x; subbing into the second equation we see 6x + 2(6-3x) = 8 is impossible, since when we simplify 6x + 12 - 6x = 8, and further: 12 = 8, which is a contradiction.