SOLUTION: Without graphing, decide whether the system has one solution, no solution, or an infinite number of solutions. Make sure to explain your answer for credit. y = -3x + 1 y = 3x

Algebra ->  Graphs -> SOLUTION: Without graphing, decide whether the system has one solution, no solution, or an infinite number of solutions. Make sure to explain your answer for credit. y = -3x + 1 y = 3x      Log On


   

Question 946878: Without graphing, decide whether the system has one solution, no solution, or an infinite number of solutions. Make sure to explain your answer for credit.

y = -3x + 1
y = 3x + 7
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

simplify so that the equations are in y=mx%2Bb format.
if m and b are the same, then its infinite solutions.
if m is the same and b is different, then it's no solution
if m is different, than it's one solution (b doesn't matter if m is different)
so, in your case
y+=+highlight%28-3%29x+%2B+1=>m=-3
y+=+highlight%283%29x+%2B+7=>m=3
m is different than it's one solution