SOLUTION: M+G=33 years between them A+C=95 years between them S+M=72 years between them M+C=87 between them S+G=73 years between them Help!!!

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: M+G=33 years between them A+C=95 years between them S+M=72 years between them M+C=87 between them S+G=73 years between them Help!!!      Log On


   

Question 984041: M+G=33 years between them
A+C=95 years between them
S+M=72 years between them
M+C=87 between them
S+G=73 years between them
Help!!!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Five equations and five unknown variables. Substitution will work.

The variable M is used three and the most occurances. Try substituting for this, first in all the other equations. Pick any equation containing M to start this.

M+G=33
M=33-G
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Now substitute to make the changes.
system%28A%2BC=95%2CS%2B%2833-G%29=72%2C%2833-G%29%2BC=87%2CS%2BG=73%29
Simplify this system.


system%28A%2BC=95%2CS-G=39%2CG-C=54%2CS%2BG=73%29------Four equations in four unknown variables. Look to see that two of them use only S and G, and those two by themselves as a system make using the Elimination Method very convenient for first solving the values of S and G.
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You should find from system%28S-G=39%2CS%2BG=73%29 that highlight%28S=56%29 and highlight%28G=17%29.

You may then see a path to handle the other equations shown in this four-with-four system.