Given that the solution set to a system of three linear equations is a line, which of the following is true about the system? the system can be either inconsistent or consistent. the system can be either independent or dependent. the system can only be independent and consistent. the system can only be dependent and consistent.

1. If we graph the solutions of a linear equation (ax+b=y), we get a line.

2. So 3 linear equations are represented by 3 lines.

3. The three of them may:

i) meet at a point, which means there is a point (m, n) which satisfies all the equations. So in this case we have 1 solution

ii) there may be no common point to the three of them, for example they are all parallel

iii) they may have infinitely many common points, which mean they are basically the same line : 2x+3=y, 4x+6=2y, 20x+30=10y

4. "the solution set to a system of three linear equations is a line"
means that 

"The system can only be dependent and consistent."

that is the equations are dependent (multiples) of each other, and it has solutions

Ithink the answer is a