SOLUTION: The sum of two consecutive odd integers is at least 36. What are the integers?

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!
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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
---
copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution by matrix method:
x = 17
y = 19
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now by elimination:
---
x - y = -2
x + y = 36
---
add the system:
---
2x = 34
x = 17
---
y = x + 2
y = 17 + 2
y = 19
---
solution by elimination method:
x = 17
y = 19
---
now by substitution:
---
y = x + 2
x + y = 36
---
x + (x + 2) = 36
2x + 2 = 36
2x = 34
x = 17
---
y = x + 2
y = 17 + 2
y = 19
---
solution by substitution method:
x = 17
y = 19
---
NOTE:
all three methods agree !
---
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---
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---
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