SOLUTION: The problem is: Solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify w

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Question 82207: The problem is: Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
x + y = 4
2x – y = 2
I have no clue how to even begin these types of problems. Any help is greatly appreciated.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 4
2x – y = 2
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In this case you can just add the two equations and the y-terms will disappear:
Adding you get:
3x=6
x=2
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Substitute that into one of the original equations to solve for y:
2+y=4
y=2
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Solution:
x=2,y=2
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Cheers,
Stan H.