Respuesta :

15.

Let:

[tex]\begin{gathered} 3a-3b+4c=-23_{\text{ }}(1) \\ a+2b-3c=25_{\text{ }}(2) \\ 4a-b+c=25_{\text{ }}(3) \end{gathered}[/tex]

Using elimination method:

[tex]\begin{gathered} (1)-3(2) \\ 3a-3a-3b-6b+4c-9c=-23-75 \\ -9b+13c=-98_{\text{ }}(3) \end{gathered}[/tex][tex]\begin{gathered} 4(2)-(3) \\ 4a-4a+8b-b-12c-c=100-25 \\ 9b-13c=75_{\text{ }}(4) \end{gathered}[/tex]

so:

[tex]\begin{gathered} (3)+(4) \\ -9b+9b+13c-13c=-98+75 \\ 0=-23 \\ False \\ 0\ne-23 \end{gathered}[/tex]

Therefore, the system has no solution

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