Suppose that $x+y=2$ and $2 x+y=6$. What is $x$ ?
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Final Answer: \(\boxed{4}\)
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: \(\boxed{4}\)