Respuesta :

Given:

The system is:

[tex]\begin{cases}{2x+3y+10z=9} \\ {-x+2y+5z=1} \\ {3x+z=5}\end{cases}[/tex]

The solution is (2,3,-1)

Find-:

The (2,3,-1) is the solution of function or not

Explanation-:

The solution is (2,3,-1) which means:

[tex]\begin{gathered} x=2 \\ \\ y=3 \\ \\ z=-1 \end{gathered}[/tex]

Check the value for the given expression:

[tex]\begin{gathered} 2x+3y+10z=9 \\ \\ 2(2)+3(3)+10(-1)=9 \\ \\ 4+9-10=9 \\ \\ 3\ne9 \end{gathered}[/tex]

So, it is not a solution of system.