(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

When finding the arithmetic mean in a system of equations is there any reason why the method that I am using is wrong?

Find the arithmetic mean of x and y in the following set of equations

2. Relevant equations

3x + 5y = 65 and

7x + 14y = 175

3. The attempt at a solution

I treated it as a statistics problem where x's and y's are individual units, so...

10x + 19y = 240

mean = 240/29 since mean = total sum/N My answer is 8 and 8/29

I understand that this method might not be the correct way of doing it, but if the number of units is known (10x, and not 10xy) is there any reason that this method of finding the arithmetic mean will not work.

Thank you to anyone who takes the time to look at this.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Arithmetic mean of two unknowns in a system of equations

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