SOLUTION: Hello! I am not very good with a system of equations, here are another one of the problems that I am having trouble with. Find a value for a so that the system has no solutions

Algebra ->  Systems-of-equations -> SOLUTION: Hello! I am not very good with a system of equations, here are another one of the problems that I am having trouble with. Find a value for a so that the system has no solutions      Log On


   

Question 1143518: Hello! I am not very good with a system of equations, here are another one of the problems that I am having trouble with.
Find a value for a so that the system has no solutions
y = (2/3)x - 5
y = ax + 5
Thanks!
Answer by greenestamps(13196) About Me  (Show Source):
You can put this solution on YOUR website!


The slope of the first line is (2/3); the slope of the second line is a.

The system has no solution if the lines are parallel.

The lines are parallel if the slopes are the same.

Those facts plus a bit of logical reasoning gives you the answer.