Solve the system of equations by graphing:
\[
\left\{\begin{array}{l}
y=-6 x+16 \\
y=-x+6
\end{array}\right.
\]
Answer: $(x, y)=$
Check Answer

Step 1 ：First, we set the two equations equal to each other to find the x-coordinate of the point of intersection: \(-6x + 16 = -x + 6\).

Step 2 ：Then, we simplify the equation by adding \(6x\) to both sides to get \(16 = 5x + 6\).

Step 3 ：Next, we subtract \(6\) from both sides to isolate \(x\) on one side of the equation: \(10 = 5x\).

Step 4 ：Then, we divide both sides by \(5\) to solve for \(x\): \(x = 2\).

Step 5 ：Now that we have the x-coordinate, we can substitute \(x = 2\) into the first equation to find the corresponding y-coordinate: \(y = -6(2) + 16\).

Step 6 ：Simplify the equation to get \(y = -12 + 16\).

Step 7 ：Finally, we simplify the equation to get \(y = 4\).

Step 8 ：So, the solution to the system of equations is \(\boxed{(2,4)}\).