Substitute Scott Dobie fired Carlisle in to second spot and left struggling Crewe rooted in the bottom four. The Railwaymen started strongly and Steven Schumacher tried his luck from 25 yards before on-loan Gary Roberts produced two unfinished cut-backs.
Teenager Byron Moore also blew two quick chances to put Alex ahead.
Dobie duly scored his first goal since rejoining Carlisle in January on 64 minutes slotting home a first-time shot after Cleveland Taylor slid him in.
Crewe: Williams, Abbey, Baudet, O'Donnell, Boyle, Lunt, Gary Roberts, Schumacher (Lowe 84), Gary Roberts, Moore (Pope 72), Maynard.
Subs Not Used: Cox, O'Connor, McCready.
Booked: Baudet.
Carlisle: Westwood, Raven, Livesey, Murphy, Horwood, Taylor (Jeff Smith 88), Bridge-Wilkinson, Grant Smith, Hackney, Graham, Garner (Dobie 46).
Subs Not Used: Howarth, Lumsdon, Arnison.
Goals: Dobie 64.
Att: 4,786
Ref: Paul Taylor (Hertfordshire).
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