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Answer by jdaw1 for How do I solve a system of equations for only one...

As J.M. posted in a comment, GroebnerBasis[{equations}, x1, {x2, x3, x4}] does exactly what was asked. But a commendation also goes to QuantumDot’s suggestion of Solve[Eliminate[{…,…,…,…},...

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How do I solve a system of equations for only one variable quickly?

I have four order-2 polynomial equations in four unknowns. Call the unknowns x1,x2,x3,x4. I want only x1, and am not at all interested in the values of x2,x3,x4.Obviously Solve[{…,…,…,…},...

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