Question 688952
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4c\ +\ 8a\ =\ 1172]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ c\ +\ a\ =\ 172]


There are at least 4 ways to solve this, all of which give you the same answer and none of which give you negative numbers for either of the variables.


<u>Substitution</u>


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ a\ =\ 172\ -\ c]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4c\ +\ 8(172\ -\ c)\ =\ 1176]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4c\ -\ 8c\ =\ 1176\ -\ 1376]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -4c\ =\ -200]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ c\ =\ 50]


<u>Elimination method</u>


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4c\ +\ 8a\ =\ 1176]


Multiply the 2nd equation by -8


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -8c\ -\ 8a\ =\ -1376]


Add the two equations, term by term


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -4c\ +\ 0a\ =\ -200]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ c\ =\ 50]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
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