22. \( 3 x-y=2 \) and \( y=\frac{1}{3} x-11 \)

To solve the system of equations \( 3x - y = 2 \) and \( y = \frac{1}{3}x - 11 \), you can substitute the second equation into the first. By replacing \( y \) in the first equation, you get: \[ 3x - \left(\frac{1}{3}x - 11\right) = 2. \] Simplifying this will give you a single equation with only \( x \). You'll find the value of \( x \) and then plug it back into the equation for \( y \) to find the corresponding \( y \) value. This process helps ensure you get the correct solution while practicing algebra skills! If you forget to clear fractions while solving, it can lead to a messy solution. Always double-check each step after you make substitutions or transformations to avoid unnecessary complications. Remember to keep your work organized and tidy!