When using the substitution method, how can you tell if a system of linear equations has no solution?

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asked Jul 4, 2024 124k views

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Dvlpr · Answer 1 · 2024-07-11T13:34:48+0000

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When a system has no solution or an infinite number of solutions and we attempt to find a single, unique solution using an algebraic method, such as substitution, the variables will cancel out and we will have an equation consisting of only constants. If the equation is untrue then the system has no solution.

When using the substitution method, how can you tell if a system of linear equations has no solution?

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When using the substitution​ method, how can you tell if a system of linear equations has no​ solution?

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When using the substitution method, how can you tell if a system of linear equations has no solution?