Suppose that $x+y=2$ and $2 x+y=6$. What is $x$ ? \[ x= \]

Step 1 ：We have a system of two linear equations: \(x + y = 2\) and \(2x + y = 6\).

Step 2 ：We can solve this system by elimination. Subtract the second equation from the first to eliminate \(y\) and solve for \(x\).

Step 3 ：The solution to the system of equations is \(x=4\).

Step 4 ：Final Answer: \(\boxed{4}\)