Tell whether the system has one solution, infinitely solution, or no solution.
3x + y = -13
-2x + 5y= -54

Question

Tell whether the system has one solution, infinitely solution, or no solution.
3x + y = -13
-2x + 5y= -54

anonymous · Answer

no

anonymous · Answer

You don't need to solve the equation.

If there is 1 solution, the slopes will be different. 
If there is no solution, the slopes and y-ints will be different. This means the lines are parallel.
if there is infinite solutions, the slopes and y ints will be the same. This means the equations are equal, therefore, overlap each other.

To find out. Simply equate both your equations.

anonymous · Answer

If there is no solution the slopes will be the same, but y-ints will be different. Sorry.