Question

Joe solved this linear system correctly.

6x+3y=6


y=−2x+2


These are the last two steps of his work.


6x−6x+6=6


6=6


Which statement about this linear system must be true?


a) x must equal 6

b) y must equal 6

c) there is no solution to this system

d) there are infinitely many solutions to this system

Answer 1

There are infinitely many solutions because the first two equations are actually the same just arranged differently so there's not enough information to know what x or y are in other words they could be anything.