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I need help. x1 + x2 + x3 + x4 = 12 with at least one variable equal or greater than 5

Kayton

New member
Aug 28, 2020
1
So i got this problem in which there is a system with natural variables x1 + x2 + x3 + x4 = 12 and there is at least one variable that is equal or greater than 5 and i would like to know all the possibilities for this system. Aprecciate.
 

Reeii Education

New member
Sep 16, 2020
2
For this system You can fix value of one variable greater than 5, then possibilities for this variable is 6,7,8 & 9 because if you would take 10 then remaining three terms won't sum up to 2 to give a total of 12.
With fixed variable 6, you can take three different values summing to six to give a total of 12. Three variables can be any set from these: {1,1,4},{1,2,3}. different combinations can be calculated.
Likewise for fixed variable 7, take three variables summing to 5.
Similarly follow the steps.
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