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Question 1009761: x+y=8
x-y=6
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! The given system of equations is
x+y = 8
x-y = 6
Add up the equations
x+y = 8
x-y = 6
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2x+0y = 14
that turns into
2x = 14
Now solve for x
2x = 14
2x/2 = 14/2
x = 7
Then use this to find y
x+y = 8
7+y = 8
7+y-7 = 8-7
y = 1
So x = 7 and y = 1 which is the ordered pair (x,y) = (7,1)
If you were to graph the two equations, you'll see that the two lines cross at the point (7,1), which is the solution to the system of equations.
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