DaymianN198939 DaymianN198939
  • 25-10-2022
  • Mathematics
contestada

13) y = 4x - 3 -8x + 6y = 14

Respuesta :

GrabielB282595 GrabielB282595
  • 25-10-2022
[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

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