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How are the algebraic properties used in creating equivalent systems?
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If in a system, an equation is replaced by another equation that is obtained from adding the two equations from a system previously multiplied or divided by a nonzero number, the resultant system is equivalent.
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If the order of the equations or the order of the unknowns changes, it is another equivalent system. If an equation of a system is added or subtracted by another equation of the same system, the resultant system is equivalent. If both members of an equation in simultaneous equations are added or subtracted by the same expression, the result is an equivalent simultaneous equation.
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