Answer: The answer is (2, 2).
Step-by-step explanation: The given system of equations is
[tex]4x-2y=4,\\\\2x+y=6.[/tex]
We are to find the co-ordinate pair that is the solution for the above system of equation.
Multiplying the second equation by 2 and adding to the first equation, we have
[tex]4x+4x=4+12\\\\\Rightarrow 8x=16\\\\\Rightarrow x=2,[/tex]
and
[tex]y=6-2\times 2=6-4=2.[/tex]
Thus, the co-ordinate pair is (2, 2).
