Click and drag the given steps (on the right) to their corresponding step names (on the left) to prove that if al band bl c, then alc Step 1 By definition of divisibility, c a(ts), with ts being an integer, implies alc. Suppose alband bl c. By definition of divisibility, a I b means that a- btfor some integer t, and blc means that b- cs for some integer s. Suppose al band bl c. By definition of divisibility, a b means that a-bt for some integer t, and blc means that b-cs for some integer s Step 2 We substitute the equation b-cs into a-bt and get a cst We substitute the equation b cs into a - bt and get a-csit Suppose al band bl c. By definition of divisibility, a I b means that b-at for some integer t, and blc means that c- bs for some integer s. Step 3 We substitute the equation b- at into c-bs and get c-ats By definition of divisibility, a - c(st), with ts being an integer, implies al c. By definition of divisibility, a-c(st, with ts being an integer, implies al c