SOLUTION: The sum of two integers is greater than 12. One integers is ten less than twice the other. What are the least values of the integers?
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Question 186286This question is from textbook Algebra 1
: The sum of two integers is greater than 12. One integers is ten less than twice the other. What are the least values of the integers?
This question is from textbook Algebra 1
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two integers, x & y
:
The sum of two integers is greater than 12.
x + y > 12
:
One integers is ten less than twice the other.
x = 2y -10
:
What are the least values of the integers?
:
Substitute (2y-10) for x in the 1st equation
(2y-10) + y > 12
2y + y > 12 + 10
3y > 22
The least integer greater than 22, that is multiply of 3
3y = 24
y = 8
:
Find x:
x = 2(8) - 10
x = 16 - 10
x = 6
:
6 + 8 > 12
:
6 & 8 are the least value integers
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