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Question
true or false: if a coordinate pair satisfies one of the equations in a system of linear equations, then it is a solution to the system.
true
false
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Step1: Recall system solution definition
A solution to a system of linear equations must satisfy \(\boldsymbol{all}\) equations in the system, not just one.
Step2: Analyze the statement
The statement claims satisfying one equation means it's a system solution. This contradicts the definition (needs all equations satisfied). So the statement is false.
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False