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


New member
Aug 28, 2020
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
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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