SOLUTION: Determine whether each system of linear equations has (a) one and only one solution, (b) infinitely many solutions, or (c) not solution. Find all solutions whenever they exist.

Question 178689This question is from textbook Finite Mathematics
: Determine whether each system of linear equations has (a) one and only one solution, (b) infinitely many solutions, or (c) not solution. Find all solutions whenever they exist.
1.) x - 3y = -1
4x + 3y = 11 This question is from textbook Finite Mathematics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Determine whether each system of linear equations has (a) one and only one solution, (b) infinitely many solutions, or (c) not solution. Find all solutions whenever they exist.
x - 3y = -1
4x + 3y = 11
-----------------
Add to solve for "x":
5x = 10
x = 2
---
Substitute to solve for "y":
2 - 3y = -1
3y = 3
y = 1
----------------
one and only one solution
================================
Cheers,
Stan H.
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