91Ó°ÊÓ

To eliminate one of the variables, add the two equations together: \begin{aligned} -5x + 6y + 5x - 6y &= 3 - 7 \rightarrow 0 &= -4 \rightarrow 0 = -4 \text{which is a contradiction.} \text{Since adding the equations resulted in a contradiction, the system of equations has no solution.} \text{Thus, there isn't a need for further steps.} \text{Therefore, there is no need for checking a solution.} \text{Because there is no solution at all.} \text{Remember that contradictions, as a result of elimination, imply that the system is inconsistent.} \text{Thus, the given system of equations does not intersect and they are parallel lines.} \text{Confirming there is no solution makes the method of elimination successful in this case.} \text{If instead \(0 = 0\) was the results, the system would have infinitely many solutions.} \text{However, the obtained contradiction ensures both the absence of any solution and complete verification for the required question.}