SOLUTION: is the ordered pair (-4,-1) a solution of equations? show me the work please. x+y=3 and x-y=5

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Question 1056998: is the ordered pair (-4,-1) a solution of equations? show me the work please.
x+y=3 and x-y=5

Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!
is the ordered pair (-4,-1) a solution of equations? show me the work please.
x+y=3 and x-y=5

No it isn't, but (4,-1) is.

Here's why (4,-1) is a solution to both equations:

Substitute x=4 and y=-1 in x+y=3
                           4+(-1)=3
                           4-1=3
                             3=3  <-- That's true!

Substitute x=4 and y=-1 in x-y=5
                           4-(-1)=5
                           4+1=5
                             5=5  <-- That's also true!

That's why (4,-1) IS a solution.

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Here's why (-4,-1) is NOT a solution:

Substitute x=-4 and y=-1 in x+y=3
                          -4+(-1)=3
                          -4-1=3
                            -5=3  <-- That's false!

Substitute x=4 and y=-1 in x-y=5
                          -4-(-1)=5
                          -4+1=5
                            -3=5  <-- That's also false!

That's why (-4,-1) IS NOT a solution.

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Edwin