Question
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B) Check whether is a solution of the systems of linear equations.
5) 6)

Ask by Sherman French. in the United States
Jan 21,2025

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Tutor-Verified Answer

Answer

The point is not a solution to either system of equations.
System 5:
  • Substituting and into gives , which does not equal 69.
System 6:
  • Substituting , , , and into each equation:
    • First equation:
    • Second equation: and , so
    • Third equation:
Therefore, does not satisfy any of the equations in either system.

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Mind Expander

To check whether is a solution for the equations, we need to substitute and into the first equation and and into the second system.
  1. For the first equation :
    This is true!
  2. For the second system of equations, we need to find and such that satisfies:
    Substituting and into the third equation:
    Since , is not a solution to the system of equations.
Thus, the answer is confirmed: is a solution for the first equation, but not for the second system.

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