Questions on Algebra: Inequalities, trichotomy answered by real tutors!

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Question 167519This question is from textbook prentice hall algebra 1
: Find the greatest possible pair of integers such that one integer is 4 less than twice the other and their sum is at most 50.This question is from textbook prentice hall algebra 1
: Find the greatest possible pair of integers such that one integer is 4 less than twice the other and their sum is at most 50.
Answer by checkley77(3848)   (Show Source):
You can put this solution on YOUR website!
X=2Y-4
X+Y<=50
(2Y-4)+Y<=50
3Y-4<=50
3Y<=50+4
3Y<=54
Y<=54/3
Y<=18
X=2*18-4
X=36-4
X=32
PROOF:
LET Y=17.9
32+17.9<=50
49.9<=50
Question 167519This question is from textbook prentice hall algebra 1
: Find the greatest possible pair of integers such that one integer is 4 less than twice the other and their sum is at most 50.This question is from textbook prentice hall algebra 1
: Find the greatest possible pair of integers such that one integer is 4 less than twice the other and their sum is at most 50.
Answer by stanbon(19738)   (Show Source):
You can put this solution on YOUR website!
Find the greatest possible pair of integers such that one integer is 4 less than twice the other and their sum is at most 50.
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Let the integers be "x" and "y".
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EQUATIONS:
x = 2y -4
x + y <= 50
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Substitute to get:
2y-4+y <=50
3y <=54
y <= 18
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x = 2*18-4 = 32
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Cheers,
Stan H.

Question 167519This question is from textbook prentice hall algebra 1
: Find the greatest possible pair of integers such that one integer is 4 less than twice the other and their sum is at most 50.This question is from textbook prentice hall algebra 1
: Find the greatest possible pair of integers such that one integer is 4 less than twice the other and their sum is at most 50.
Answer by Mathtut(1352)   (Show Source):
You can put this solution on YOUR website!
will call them intergers a and b
eq 1
eq 2
take a's value from eq 1 and plug it into the 2nd equation.
{(2b-4)+b<+50}}}
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