Given:
[tex]\begin{gathered} y=x+1\ldots\ldots\ldots\ldots(1) \\ 2y-x=6\ldots\ldots\ldots\ldots(2) \end{gathered}[/tex]To find: The solution for the system
Explanation:
Substitute the equation (1) in equation (2) we get,
[tex]\begin{gathered} 2(x+1)-x=6 \\ 2x+2-x=6 \\ x+2=6 \\ x=4 \end{gathered}[/tex]Substitute the x-value in equation (1) we get,
[tex]\begin{gathered} y=4+1 \\ y=5 \end{gathered}[/tex]The solution for the given system is,
[tex]\begin{gathered} x=4 \\ y=5 \end{gathered}[/tex]Final answer: One solution.
