Question

Solve each system by graphing and then write the solution. 24 + 6y = -9x2y = -3x -2

Answer 1

Given the system of equations:

`\begin{cases}24+6y=-9x \\ 2y=-3x-2\end{cases}`

To solve this system, we first convert it in slope-intercept form:

`\begin{cases}y=-(3)/(2)x-4 \\ y=-(3)/(2)x-1\end{cases}`

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.