I have asked the below question twice, but the answer given by experts is coming in some other method. Please answer again. 
Question:
Balance the below chemical equation by using Algebraic method only. Also show the process. 


$\left(1\right) \mathrm{Cu} + {\mathrm{HNO}}_3\to \mathrm{Cu}{\left({\mathrm{NO}}_3\right)}_2+\mathrm{NO}+{\mathrm{H}}_2\mathrm{O}$

{Please don't solve this using any other method and don't provide similar questions.}