Replacing y in the second equation
[tex]\begin{gathered} -8x+6(4x-3)=14_{} \\ -8x+24x-18=14 \\ 16x=14+18 \\ 16x=32 \\ x=\frac{32}{16} \\ x=2 \end{gathered}[/tex]Then
[tex]\begin{gathered} y=4(2)-3 \\ y=8-3 \\ y=5 \end{gathered}[/tex]Just checking our answer
[tex]-8(2)+6(5)=-16+30=14[/tex]So the correct answer is x=2 and y=5