the system has not solution
Explanationgiven
[tex]\begin{gathered} 8x-24y=1\Rightarrow equation(1) \\ -x+3y=1\Rightarrow equation(2) \end{gathered}[/tex]Step 1
a) mutiply equation (2) by 8 to Make the x coefficients of one variable opposites.
[tex]\begin{gathered} -x+3y=1\operatorname{\Rightarrow}equat\imaginaryI on(2)*8 \\ -8x+24y=8 \end{gathered}[/tex]b) now, add the result to equation(1)
[tex]\begin{gathered} -8x+24y=8 \\ 8x-24y\text{ }=1 \\ ........................... \\ 0=9\Rightarrow indetermination \end{gathered}[/tex]when we get a indetermination it means the system has not solution , so the answer is
the system has not solution
I hope this helps you
