please give a brief explanation to why you chose the answer 13. If one is solvin

Question

please give a brief explanation to why you chose the answer

13. If one is solving three linear equations involving two unknowns, what happens? o A. Anything can happen. 0 B. There will never be a solution. ° C. Usually there will be one solution, but occasionally there will be no solutions or infinitely many solutions. O D. There will always be exactly one solution. O E. There will always be infinitely many solutions. 0 F. There will always be a solution. OG. Usually there will be no solution, but

Explanation / Answer

3 linear equations using 2 unkowns is the same as 3 lines in a 2-D space;

Usually three lines can either :
i) coincide at a single point ( one solution)
ii) not coincide together at all by being parallel (no solution)
iii) be exactly the same as each other (infinitely many solutions)

The 2nd case is most likely so answer is option (G)
However, even option (A) implies the same thing since it doesn't mention the specifics;

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