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Linear AlgebraMediumRow Reduction & Rank

Row Reduction & Rank · Medium problem

A feed mix combines three grains with weights x,y,zx,y,z (kg) satisfying x+y+z=20x+y+z=20 (total weight) and x−y+2z=8x-y+2z=8 (protein content). These two equations leave one free variable. The farmer also requires twice as much grain YY as grain ZZ. Find xx.