How do you solve a system of nonlinear equations involving a quadratic and a linear equation using the substitution or elimination method?

To solve a system of nonlinear equations involving a quadratic and a linear equation using substitution, first solve the linear equation for one variable. Then substitute this expression into the quadratic equation. Solve the resulting quadratic equation for the variable and back-substitute to find the other variable. For elimination, align both equations and eliminate one variable by adding or subtracting the equations, then solve the resulting equation.

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