Solve for \(x\) in \(x+1=11\).
Solve for \(x\).
\[x+1=11\]
Subtract \(1\) from both sides.
\[x=11-1\]
Simplify \(11-1\) to \(10\).
\[x=10\]
\[x=10\]
Substitute \(x=10\) into \(x-1=21\).
Start with the original equation.
\[x-1=21\]
Let \(x=10\).
\[10-1=21\]
Simplify.
\[9=21\]
\[9=21\]
Since \(9=21\) is not true, this is an inconsistent system.