SOLUTION: Without graphing, tell whether the system has one solution, no solution, or an infinite number of solutions. Make sure to explain how you know your answer is correct for full

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Question 948233: Without graphing, tell whether the system has one solution, no solution, or an infinite number of solutions.

Make sure to explain how you know your answer is correct for full credit.

y = x + 2
-4x + y = -1
Answer by amarjeeth123(569) About Me  (Show Source):
You can put this solution on YOUR website!
The given equations are:
y = x + 2...........equation 1
-4x + y = -1........equation 2
From 2 we get y=4x-1
Substituting in 1 we get,
4x-1=x+2
3x=3
x=1
y=3
The given set of equations has one unique solution (1,3).