How can I solve the following system of equations in the easiest way possible?
- m%14=p
- m%7=q
- p=q+7
Note: % denotes remainder of a division operation.
2026-03-25 19:02:02.1774465322
Solving system of equations which involve 'remainder's
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So, if we have $$m=p+14k_1,m=q+7k_2$$ so nwe get $$p-q=7k_2-14k_1$$ $$7=7k_2-14k_1$$ This can be written as $$1=k_2-2k_1$$ If $k_1,k_2$ are integers, then we can solve this Diophantine equation.