two system are equim if they have
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Equivalent systems of equations review (article) | Khan Academy Two systems of equations are equivalent if they have the same solution(s). ... Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.
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Two systems are equivalent if either both are inconsistent or each equation of each of them is a linear combination of the equations of the other one. It follows that two linear systems are equivalent if and only if they have the same solution set
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