Question Graph the linear equations in slope-intercept form: $y=3x+5$ and $y=3x+\frac{-8}{3}$. Determine if the system is consistent or inconsistent, and if consistent, provide the solution. Determine if the equations are dependent or independent.

Studdy Solution
A system of equations is dependent if all solutions of one equation are also solutions of the other equation. In other words, the equations represent the same line. Independent equations, on the other hand, represent different lines. Since our two equations represent different lines, they are independent.
The solution to the problem is that the system of equations is inconsistent and the equations are independent.