Problem

What is (are) the $x$ value(s) that solve the system of equations $y=x$ 2 and $y=-2 x-1$ ?

Answer

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Answer

Final Answer: \(\boxed{-1}\)

Steps

Step 1 :We are given the system of equations: \(y = x^2\) and \(y = -2x - 1\).

Step 2 :We need to find the value of \(x\) that satisfies both equations simultaneously. This means we need to set the two equations equal to each other and solve for \(x\).

Step 3 :Setting the two equations equal to each other gives us \(x^2 = -2x - 1\).

Step 4 :Solving this equation gives us the solution \(x = -1\).

Step 5 :Therefore, the solution to the system of equations is \(x = -1\).

Step 6 :Final Answer: \(\boxed{-1}\)

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