Question 382259: Please help! Determine whether the ordered pair is a solution of the inequality. (2,19); 2y-3x>2. Is the ordered pair a solution?
I know that I would plug in 2 for the variable x so 2y-3(2)>2; 2y-6>2; add 6 to both sides and I'm left with 2y>4. If I divided 2 into 4 this leaves me with y>2?? Doesn't look right to me.
Next, I would substitute 19 for the variable y in the inequality. Let's try.
2(19)-3x>2; 38-3x>2; Add 38 to both sides? 3x>40. Divide 3 on both sides; 13.33?? Doesn't look right either.
Found 2 solutions by stanbon, Alan3354: Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Please help! Determine whether the ordered pair is a solution of the inequality. (2,19); 2y-3x>2. Is the ordered pair a solution?
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Substitute for x and for y and see if you get a true statement.
2*19-3*2 > 2
38-6 > 2
32>2
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That is true so (2,19) is one of the points in the solution set.
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Cheers,
Stan H.
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Determine whether the ordered pair is a solution of the inequality.
(2,19); 2y-3x>2
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Sub for x and y, as you said. Sub for both, not one at a time.
2*19 - 3*2 > 2
38 - 6 > 2
32 is greater than 2, so (2,19) is a solution.
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