SOLUTION: Solve: At a community​ college, the difference between a​ professor's salary and an associate​ professor's salary is $5000.00. the sum of their salaries is $101,000.00. find

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Question 1135904: Solve: At a community​ college, the difference between a​ professor's salary and an associate​ professor's salary is $5000.00. the sum of their salaries is $101,000.00. find the salary of an associate professor at the college.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = professor's salary
Let +b+ = Associate's salary
---------------------------------------
+a+-+b+=+5000+
+a+%2B+b+=+101000+
----------------------------
Add the equations
+2a+=+106000+
+a+=+53000+
and
+53000+-+b+=+5000+
+-b+=+-48000+
+b+=+48000+
$48,000
---------------------------
check:
+53000+%2B+48000+=+101000+
+101000+=+101000+
OK