Given the system of equations:
[tex]\begin{cases}24+6y=-9x \\ 2y=-3x-2\end{cases}[/tex]
To solve this system, we first convert it in slope-intercept form:
[tex]\begin{cases}y=-\frac{3}{2}x-4 \\ y=-\frac{3}{2}x-1\end{cases}[/tex]
We see that these lines must be parallel since they have the same slope (-3/2). The graph of the equations are:
Parallel lines never touch each other, so there is no solution for the system.
