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Alg2-Ch3-Sect1_2-Power_Point_Lesson

... Example 1A: Solving Linear Systems by Substitution Use variable substitution to solve the system: y= x–1 x+y=7 Step 1: Substitute the equivalent expression for “y” from the first equation in place of “y” in the second equation and solve for “x”. x+y=7 x + (x – 1) = 7 2x – 1 = 7 2x = 8 x=4 ...
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... • For any real x (except 0), there is exactly one number on the number line that is the same distance from 0 but on the other side of x. This is the additive inverse, or opposite, of x. • The additive inverse of x is -x ...
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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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