SOLUTION: When trying to decide if an ordered pair is a solution of a system of liner equation if the x is already negative and the x value given is also negative would it turn positive or s

Question 171362: When trying to decide if an ordered pair is a solution of a system of liner equation if the x is already negative and the x value given is also negative would it turn positive or stay negative?
Ex: (-9,5)
-x + 3y = 24
Found 3 solutions by stanbon, jim_thompson5910, gonzo:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
When trying to decide if an ordered pair is a solution of a system of liner equation if the x is already negative and the x value given is also negative would it turn positive or stay negative?
Ex: (-9,5)
-x + 3y = 24
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Comment: the negative of a negative is a positive.
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Just substitute the values and see if you get a true statement.
-(-9) + 3(5) = 24
9 + 15 = 24
24= 24
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True so (-9,5) is one (of an infinite number) of solutions.
===================
Cheers,
Stan H.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Since we have the ordered pair (-9,5), this means that we're testing the equation using the values and

Start with the given equation

Plug in and

Rewrite as

Multiply

Add. Since the equation is true, this verifies that (-9,5) is a solution of the equation
Answer by gonzo(654)   (Show Source): You can put this solution on YOUR website!
ordered pair: (-9,5)
equation: -x + 3y = 24
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you substitute -9 for x and 5 for y
-x + 3y = 24 becomes:
-(-9) + 3(5) = 24
this becomes:
9 + 15 = 24
24 = 24
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the -x in the equation is - (x)
you are substituting for x, not -x
it becomes - (-9)
which then becomes + because a minus of a minus is a plus.
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