Respected experts,
Meritnation 

For the below question we can take 5 coefficients, but  In the experts solution,  some how the number of coefficients are being reduced in 2  numbers "a,b",  which is making it complex. 
 Please answer again by using 5 coefficients, "a,b,c,d,e" without changing anything in the given equation. 


Question 1 for today :
Balance the below chemical equation by using Algebraic method only. Also show the process.
1) $Cu+HN{O}_3 \to Cu{\left(N{O}_3\right)}_2+NO+H_{2}O$