Determining Whether Ordered Pairs are Solutions of
Determine whether each ordered pair is a solution to the system
ⓐ Testing : Substitute and into both equations.
- First equation: . Since is true, the first equation is satisfied.
- Second equation: . Since is false, the second equation is not satisfied.
Because does not make both equations true, it is not a solution.
ⓑ Testing : Substitute and into both equations.
- First equation: . Since is true, the first equation is satisfied.
- Second equation: . Since is true, the second equation is also satisfied.
Because makes both equations true, it is a solution of the system.
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