Example How many solutions are there to the equation x1+x2+x3= 11 where x1≥3,x2≥l,and x2≥0 Solution we introduce new variables y1=x1-3,y2=x21,y3=x3 and the equation becomes y+y2+y3=7 where y1,,and y3 are non-negative integers▪ Example How many solutions are there to the equation x1+x2+x3=11 where x13,x21, and x30? ▪ Solution We introduce new variables: ▪ y1=x1 -3, y2=x2 -1, y3=x3 , ▪ and the equation becomes y1+y2+y3=7 where y1 ,y2 ,and y3 are non-negative integers