Question

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

2x − y = 6
4x − 2y = 12

a. 0

b. 4

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

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

Answer 1

2x − y = 6
4x − 2y = 12 -----> divide by 2

2x − y = 6
2x − y = 6

These are the same equation, so both equation define the same line.
Therefore there are infinitely many solutions to the system.