SOLUTION: Choose the number solutions to the following system of equations: x-3y=3 -5x+15y=-15 This one confuses me. Is there one solution, no solutions, many solutions or cannot be

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Choose the number solutions to the following system of equations: x-3y=3 -5x+15y=-15 This one confuses me. Is there one solution, no solutions, many solutions or cannot be       Log On


   

Question 605118: Choose the number solutions to the following system of equations:
x-3y=3
-5x+15y=-15
This one confuses me. Is there one solution, no solutions, many solutions or cannot be determined? Thanks for any help you can give me.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Divide second equation by -5

x - 3y = 3

This is the same as the first equation, so the solutions all lie on that line. Therefore there are infinitely many solutions.