Answer: OPTION D.
Step-by-step explanation:
1. You can solve for the variable "y" from the first equation:
[tex]2y + 2x = 8\\\\2y=8-2x\\\\y=\frac{8-2x}{2}\\\\y=4-x[/tex]
2. Now you must ubstitute the new equation into the second equation:
[tex]2y- 4x = 2\\\\2(4-x) - 4x = 2[/tex]
3. Solve for the variable "x" in order to find its value:
[tex]8-2x - 4x = 2\\\\-6x=2-8\\\\x=\frac{-6}{-6}\\\\x=1[/tex]
4. Now you need to substitute the value of "x" into the equation [tex]y=4-x[/tex] and then evaluate, in order to find the value of "y". This is:
[tex]y=4-(1)\\\\y=3[/tex]
Therefore the solution in the form [tex](x,y)[/tex], is:
[tex](1,3)[/tex]
