SOLUTION: How many solutions does the linear system have? 2x-6y=-14 -2x+3y=7

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Question 416401: How many solutions does the linear system have?
2x-6y=-14
-2x+3y=7
Found 2 solutions by praseenakos@yahoo.com, htmentor:
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
one pair of solution.
2x-6y= -14
-2x+3y= 7
Add them vertically...
==> -3y = -7
==> -3y%2F-3++=+-7%2F-3
==> +y+=+7%2F3
2x+-6%287%2F3%29++=+-14
2x -14 = -14
2x-14+14 = -14 +14
2x = 0
==> x = 0

solution is, (x,y) = (0,7/3)

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Add equation (1) and equation (2):
-3y = -7 -> y = 7/3
-2x + 3(7/3) = 7 -> x = 0
But we weren't really asked to solve the system, just state how many solutions there are.
In general, this type of system has one solution since there are two equations and two unknowns.