Eliminating by switching off the engine? (7,3)

'eliminating' is the definition.
(cutting out is a kind of eliminating)

'switching off the engine?' is the wordplay.
I cannot quite understand how this works, but
'switching' could be 'cutting' (cutting is a kind of switching) and 'cutting' is found in the answer.
'off' could be 'out' (both can mean wrong or inaccurate) and 'out' is located in the answer.
No letters remain.
This explanation may well be incorrect...

'by' is the link.

Can you help me to learn more?