System of equations#2

$\large \begin{cases} 11x- 6y = 5\\ -4x-6y=13\\ \end{cases}$ In the above two equations of lines if we watch out the coefficients of given lines. Then it can be noted that $\begin{aligned} -\frac{11}{4}≠\frac{-6}{-6}\end{aligned}$ which implies that the pairs of lines are consistent and independent having only unique solution $x= - \frac{8}{15}$ and $y = - \frac{83}{60}$

They are both linear equations that are not parallel when plotted on a graph. This means they only have 1 solution.