Linear system/5 variables/Subsystem/Exercise

Solve the system of linear equations

${}3x-67y+14z-123u-51w=5\,,$

${}8x-11y+12z-27u-65w=51\,,$

${}66x-67y-77z-u+100w=0\,,$

${}8x-11y+12z-27u-65w=-15\,,$

${}-301x+44y+33z-31u-18w=571\,.$

Create a solution