Find two consecutive even integers such that twice the smaller is 16 more than the larger

n, n + 2 - two consecutive even integers

2n = (n + 2) - 16

2n = n + 2 - 16

2n = n - 14       |subtract n from both sides

n = -14

n + 2 = -14 + 2 = -12

-14, -12.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this