Find the solution of the system of equations.
\[
\begin{array}{c}
-5 x+5 y=-10 \\
6 x+5 y=1
\end{array}
\]

Answer

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Answer

\( x = 1 \)

Steps

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 ：\( x = 1 \)