SOLUTION: Without graphing, determine whether each system has one solution, no solutions, or an infinite number of solutions. Show your work. 4 x – y = 5 y = 4 x + 6

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Without graphing, determine whether each system has one solution, no solutions, or an infinite number of solutions. Show your work. 4 x – y = 5 y = 4 x + 6      Log On


   



Question 320702: Without graphing, determine whether each system has one solution, no solutions, or an infinite number of solutions. Show your work.
4 x – y = 5
y = 4 x + 6

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.4+x-y+=+5
2.y+=+4+x+%2B+6
Substitute eq. 2 into eq. 1,
4x-%284x%2B6%29=5
-6=5
Since the solution is inconsistent, the lines are parallel.
There is no solution (no intersection point).