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6-2 Solving Systems by Substituion

... Sometimes it is difficult to identify the exact solution to a system by graphing. In this case, you can use a method called substitution. Substitution is used to reduce the system to one equation that has only one variable. Then you can solve this equation by the methods taught in Chapter 2. ...
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System of polynomial equations

A system of polynomial equations is a set of simultaneous equations f1 = 0, ..., fh = 0 where the fi are polynomials in several variables, say x1, ..., xn, over some field k.Usually, the field k is either the field of rational numbers or a finite field, although most of the theory applies to any field.A solution is a set of the values for the xi which make all of the equations true and which belong to some algebraically closed field extension K of k. When k is the field of rational numbers, K is the field of complex numbers.
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