https://file.aiquickdraw.com/mathbot/file/1737710730345obqtuv3f.jpg

The image contains a system of equations:

\[
x^2 - 3y^2 + z = 1
\]
\[
x - y - z = 3
\]
\[
x - y^2 + z^2 = 1
\]
\[
4x - y^4 - z = 4
\]

The goal is to solve for \(x\), \(y\), and \(z\). I will proceed by analyzing and solving this system of equations. Let's start by simplifying and substituting where possible.

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The system of equations is: x^2 - 3y^2 + z = 1, x - y - z = 3, x - y^2 + z^2 = 1, and 4x - y^4 - z = 4. Solve for x, y, and z.

Learn how to solve a complex system of equations involving quadratic and polynomial terms: x^2 - 3y^2 + z = 1, x - y - z = 3, x - y^2 + z^2 = 1, and 4x - y^4 - z = 4. This problem is suitable for students in Grades 10-12, and covers algebraic concepts such as substitution, elimination, and quadratic identities.

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