SOLUTION: 24 is divided in two parts such that 7 time the frist part added to 5 times the second part makes 146. the first part is :?

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Question 569523: 24 is divided in two parts such that 7 time the frist part added to 5 times the second part makes 146. the first part is :?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two parts be x (the first part) and y (the second part).
x+y=24 and
7x+5y=146 makes your system of linear equations
We can combine them, subtracting 5 times the first equation from the second equation:
7x%2B5y-5%28x%2By%29=146-5%2A24 --> 2x=146-120=26 --> highlight%28x=13%29
Then we substitute the value found for x into the first equation to find y:
13%2By=24 --> y=24-13--> highlight%28y=11%29
Checking: 7%2A13%2B5%2A11=91%2B55=146