Respuesta :

[tex]\begin{gathered} y=4x-3 \\ -8x+6y=14 \end{gathered}[/tex]

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