Respuesta :

B. For the easiest way to find this, solve the first equation for y and then plug into the second equation for y. 

Answer: B. (3,1)

Step-by-step explanation:

The given system of linear equations :-

[tex]3x + y = 10......................(1)\\\\y = x - 2..................(2)[/tex]

Substitute the value of y from equation (2) in equation (1), we get

[tex]3x + (x-2) = 10\\\\\Rightarrow\ 4x-2=10\\\\\Rightarrow\ 4x=12\\\\\Rightarrow\ x=3[/tex]

Now, substitute the value of x in equation (2), we get

[tex]y=3-2=1[/tex]

Hence, the solution of the given system of equation = (3,1)