To find the x-coordinate of the solution to the given system of equations, we need to solve the system of equations. The system is:
1) x - 2y = 2
2) 3x + y = 6
We can use either the substitution method or the elimination method to find the solution. Let's use the elimination method here, as it looks more straightforward for this system.
First, let's multiply the second equation by 2 so that we can eliminate y by adding the two equations together:
1) x - 2y = 2 (untouched)
2) 6x + 2y = 12 (multiplied by 2)
Now let's add the two equations:
(1) + (2): (x - 2y) + (6x + 2y) = 2 + 12
x + 6x = 14
7x = 14
x = 14 / 7
x = 2
Now we have found the x-coordinate of the solution to the system of equations, which is x = 2.
Therefore, the correct multiple-choice answer is:
Ox = 2
