Solve using substitution.
\[
\begin{array}{l}
y=-2 x+9 \\
y=-x+1
\end{array}
\]

Submit

Step 1 ：The system of equations is given as: \[\begin{array}{l} y=-2 x+9 \\ y=-x+1 \end{array}\]

Step 2 ：We can substitute \(y\) from the second equation into the first equation. This will give us an equation in one variable, \(x\), which we can solve.

Step 3 ：Substituting \(y\) from the second equation into the first equation gives us: \[1 - x = 9 - 2x\]

Step 4 ：Solving the above equation gives us the solution for \(x\) as \(x = 8\)

Step 5 ：After finding the value of \(x\), we can substitute it back into either of the original equations to find the value of \(y\). Substituting \(x = 8\) into the second equation gives us \(y = -7\)

Step 6 ：The solution to the system of equations is \(\boxed{(x, y) = (8, -7)}\)