Problem

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

Answer

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Answer

Final Answer: \(\boxed{4}\)

Steps

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: \(\boxed{4}\)

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