Step 1
Given; The system of equation
[tex]\begin{gathered} 3y-6x=24--(1) \\ 8+2x=y--(2) \end{gathered}[/tex]Required; To solve the system of equations using the substitution method.
Step 2
From equation 2
[tex]\begin{gathered} y=8+2x \\ Substituting\text{ this in equation 1 gives} \\ 3(8+2x)-6x=24 \\ 24+6x-6x=24 \\ 24=24 \end{gathered}[/tex]Since we have 24=24, then the solution to the system of equation is infinitely many solutions.
Answer;
[tex]Infinitely\text{ many solutions}[/tex]