Respuesta :

Answer:

[tex]x=b-1\\y=2b-1[/tex]

Step-by-step explanation:

We have a 2x2 equation system. First, rewrite it like this:

[tex]-2x+y=1\hspace{5}(1)\\-x+y=b\hspace{5}(1)[/tex]

Solving the system using elimination method:

(1)-(2)

[tex]-2x-(-x)+y-y=1-b\\x=b-1\hspace{5}(3)[/tex]

Replacing (3) in (2)

[tex]-(b-1)+y=b\\[/tex]

Adding (b-1) to both sides:

[tex]y=b+(b-1)=b+b-1=2b-1[/tex]