Question

Lena tried to solve a system of linear equations algebraically and the process found the equation 5=9. Lena thought something was wrong, so she graphed the equations and found that they were parallel lines. Complete the explanation for what Lena's graph and equation could mean.
 
Lena's graph shows that the two lines do not factor, rotate, or intersect. This would seem to mean that the system has no solutions one solution or infinitly many solutions. It would seem that solving an equation algebraically and getting a false or true statements means that the system has no solution.

Answer 1

 It would seem that solving an equation algebraically and getting a false or true statements means that the system has no solution.