Step 1 :\( \begin{cases} 5x = 5y + 10 \\ 6x = 1 - 5y \end{cases} \)
Step 2 :\( \begin{cases} x = \frac{5y + 10}{5} \\ x = \frac{1 - 5y}{6} \end{cases} \)
Step 3 :\( \frac{5y + 10}{5} = \frac{1 - 5y}{6} \)
Step 4 :\( 6(5y + 10) = 5(1 - 5y) \)
Step 5 :\( 30y + 60 = -25y + 5 \)
Step 6 :\( 55y = -55 \)
Step 7 :\( y = -1 \)
Step 8 :\( x = \frac{5(-1) + 10}{5} \)
Step 9 :\( x = 1 \)