Answer: The correct option is
(A) (0, 4).
Step-by-step explanation: Given that Tao uses elimination to solve the following system of linear equations :
[tex]-2x+4y=16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\2x+2y=8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
We are to find the ordered pair that is the solution to the above system of equations.
Adding equations (i) and (ii), we get
[tex](-2x+4y)+(2x+2y)=16+8\\\\\Rightarrow 6y=24\\\\\Rightarrow y=\dfrac{24}{6}\\\\\Rightarrow y=4.[/tex]
From equation (i), we get
[tex]-2x+4\times4=16\\\\\Rightarrow -2x+16=16\\\\\Rightarrow -2x=0\\\\\Rightarrow x=0.[/tex]
Thus, the required solution is (x, y) = (0, 4).
Option (A) is CORRECT.
