SOLUTION: What is, "The sum of two integers is thirty-eight. Nine times the smaller integer is 23 more than 2 times the larger integer. Find the integers."

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Question 265078: What is, "The sum of two integers is thirty-eight. Nine times the smaller integer is 23 more than 2 times the larger integer. Find the integers."
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let x & y be the two integers, (x is the smaller)
:
write an equation for each statement:
:
"The sum of two integers is thirty-eight.
x + y = 38
y = (38-x), use this for substitution
:
"Nine times the smaller integer is 23 more than 2 times the larger integer."
9x = 2y + 23
:
Find the integers
replace y in the above equation with (38-x)
9x = 2(38-x) + 23
9x = 76 - 2x + 23
9x + 2x = 76 + 23
11x = 99
x = 99%2F11
x = 9
:
I'll let you find y, check solutions in the 2nd equation