Answer :
To check if the ordered pair is a solution to the system of equation(s), we will need to substitute the values into the equation and then solve. If the equation returns a true statement, then the ordered pair is a solution.
The equation in the question is given to be:
[tex]4x+3y=8[/tex]The ordered pair to be checked is:
[tex](-1,4)[/tex]Substituting into the equation:
[tex]\begin{gathered} x=-1 \\ y=4 \end{gathered}[/tex]we have the equation to be:
[tex]\begin{gathered} 4(-1)+3(4)=8 \\ -4+12=8 \\ 8=8 \end{gathered}[/tex]Since this is a true statement, the ordered pair is a solution to the equation.