Answer: The correct option is (A) (2, 6).
Step-by-step explanation: We are given to use the substitution method to solve the following system of equations :
[tex]x+2y=14~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x+4~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Substituting the value of y from equation (ii) in equation (i), we get
[tex]x+2y=14\\\\\Rightarrow x+2(x+4)=14\\\\\Rightarrow x+2x+8=14\\\\\Rightarrow 3x=14-8\\\\\Rightarrow 3x=6\\\\\Rightarrow x=\dfrac{6}{3}\\\\\Rightarrow x=2.[/tex]
Again, from equation (ii), we get
[tex]y=x+4=2+4=6.[/tex]
Thus, the required solution of the given system of equations is (x, y) = (2, 6).
Option (A) is CORRECT.
