Problem

$\left\{\begin{array}{l}2 x+y=9 \\ x=6 y-2\end{array}\right.$

Answer

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Answer

\(\boxed{x = 4, y = 1}\)

Steps

Step 1 ：\(\left\{\begin{array}{l}2 x+y=9 \\ x=6 y-2\end{array}\right.\)

Step 2 ：Substitute the expression for x from the second equation into the first equation: \(2(6y - 2) + y = 9\)

Step 3 ：Simplify the equation: \(13y - 4 = 9\)

Step 4 ：Solve for y: \(y = 1\)

Step 5 ：Substitute the value of y back into the second equation to find x: \(x = 6(1) - 2\)

Step 6 ：Solve for x: \(x = 4\)

Step 7 ：\(\boxed{x = 4, y = 1}\)

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