Which of the following would not be the result of a substitution in the following system?2x + y = 7y - x= 1A. 7 - 2x- x = 1B. 2x + x + 1 = 7C. 2(y + 1) + y = 7​

Hello!The correct option is:C. [tex]2(y+1)+y=7[/tex]Why?To find which of the given options are not the result of a substitution in the given system, we need to isolate the variable in function of the other variable, and then substitute it.So, substituting and discarding, we have:- First equation:[tex]2x+y=7[/tex]Isolating "y", we have:[tex]y=7-2x[/tex]Then, substituting it into the second equation, we have:[tex]y-x=1[/tex][tex]7-2x-x=1[/tex]We have that it's a result of a substitutiong in the following system (option A)- Second equation:[tex]y-x=1[/tex]Isolating "y", we have:[tex]y=x+1[/tex]Then, substituting it into the first equation, we have:[tex]2x+y=7[/tex][tex]2x+(x+1)=7[/tex[tex]2x+x+=7[/texWe have that it's a result of a substitution in the following system (option B)Hence, we have that the option C is not a result of a substitution in the given system of equations since there is not a possible value of the variable "x" that is equal "y+1".So, the correct option is:C. [tex]2(y+1)+y=7[/tex]Have a nice day!