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If the system of equations 3x+y=a, 2x+5y=2a, has a solution (x,y) when x=12, compute a.

 Jan 9, 2023
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If x = 12, then your equation simplifies to:

$$36 + y = a$$

and

$$24 + 5y = 2a$$

 

We can substitute a for 36 + y:

 

$$24 + 5y = 72 + 2y$$

$$3y = 48$$

$$y = 16$$

 

We now know that y is 16, and we substitute that into our first equation:

 

$$36 + 16 = a$$

$$52 = a$$

$$a = 52$$

 

So the value of a is 52.

 

If I am wrong, please tell me as I would be happy to fix it!

 Jan 10, 2023

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