Answer:
x=-2, y=-7
Explanation:
Given the two equations below:
[tex]\begin{gathered} y=3x-1 \\ y=x-5 \end{gathered}[/tex]Substituting y=x-5 into the first equation, we have:
[tex]x-5=3x-1[/tex]We solve for x.
[tex]\begin{gathered} 3x-x=-5+1 \\ 2x=-4 \\ x=-\frac{4}{2} \\ x=-2 \end{gathered}[/tex]Recall that: y=x-5, therefore:
[tex]\begin{gathered} y=-2-5 \\ y=-7 \end{gathered}[/tex]The solutions are: x=-2, y=-7
