Question
B) Check whether
is a solution of the systems of linear equations.
5)
6)
5)
|
6)
|
Ask by Sherman French. in the United States
Jan 21,2025
Upstudy AI Solution
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:
- First equation:
Therefore,
does not satisfy any of the equations in either system.
Solution

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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.
-
For the first equation
: This is true! -
For the second system of equations, we need to find
and such that satisfies: Substitutingand 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.