Respuesta :

[tex]\mleft\{\begin{aligned}y=x-4 \\ y=3x\end{aligned}\mright.[/tex]

Replace one of the equations into the other leaving only x as a variable

[tex]3x=x-4[/tex]

solve the equation for x

[tex]\begin{gathered} 3x-x=-4 \\ 2x=-4 \\ x=\frac{-4}{2} \\ x=-2 \end{gathered}[/tex]

replace the x into one of the first two equations

[tex]\begin{gathered} y=(x)-4 \\ y=-2-4 \\ y=-6 \end{gathered}[/tex]

the solution for the system of equations is (-2,-6)

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