SOLUTION: What is the solution to the following system of equations? x + y = 7 and 2x - 2y = 6

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Question 796320: What is the solution to the following system of equations? x + y = 7 and 2x - 2y = 6
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
2x - 2y = 6....1
x + y = 7......2
Adjust Eq(2)
x + y = 7
x = 7 - y
Substitute 7 - y for x
in Eq (1)
2x - 2y = 6
2(7 - y) - 2y = 6
14 - 2y - 2y = 6
-4y = 6 - 14
-4y = -8
y = 2
Substitute y = 2 into
Eq(2)
x + y = 7
x + 2 = 7
x = 7 - 2
x = 5
{5, 2}
Hope this helps.
:-)