SOLUTION: Determine whether each equation has the given ordered pair as a solution. 3q − 2p = −8; (1, −2)

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Question 469528: Determine whether each equation has the given ordered pair as a solution.
3q − 2p = −8; (1, −2)
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Presuming that the ordered pair that you are given is in the form of (p,q), the ordered pair is a solution of the equation:
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3q+-+2p+=+-8
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How can you tell? You were given the ordered pair (1, -2). This translates to p = 1 and q = -2. Substitute those values into left side of the equation and see if that makes the left side equal to the right side. If it does, then the ordered pair (1, -2) is a solution.
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Here's the work. Substituting p = 1 and q = -2 into the left side of the equation results in the left side becoming:
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3%2A%28-2%29+-+2%2A%281%29
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Doing the multiplication of the two terms:
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-6+-+2
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and combining the two terms shows that the left side is -8. Since this value is equal to the right side that you were given, this proves that the ordered pair (again presuming that the ordered pair is of the form (p,q)) of (1,-2) that you were given is a solution to the equation.
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Hope this helps you to understand the process for determining if an ordered pair is a solution to an equation. It must contain values that when substituted into the equation make the equation true and correct, that is, make the left side equal to the right side.