Question 828645: The sum of two consecutive odd integers is at least 36. What are the integers?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
y = x + 2
x + y = 36
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put the system of linear equations into standard form:
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x - y = -2
x + y = 36
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solution by matrix method:
x = 17
y = 19
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now by elimination:
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x - y = -2
x + y = 36
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add the system:
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2x = 34
x = 17
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y = x + 2
y = 17 + 2
y = 19
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solution by elimination method:
x = 17
y = 19
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now by substitution:
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y = x + 2
x + y = 36
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x + (x + 2) = 36
2x + 2 = 36
2x = 34
x = 17
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y = x + 2
y = 17 + 2
y = 19
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solution by substitution method:
x = 17
y = 19
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NOTE:
all three methods agree !
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