Question

$Solve space for space straight x space colon open square brackets table row cell 2 straight x end cell cell space 0 end cell cell space space 1 end cell row 0 cell space 1 end cell cell space space 2 end cell row cell negative 1 end cell cell space 2 end cell cell space space 0 end cell end table close square brackets space equals space open vertical bar table row 1 cell space space space space 0 end cell cell space space space 0 end cell row 2 cell space space space space 3 end cell cell space minus 4 end cell row 3 cell negative 3 end cell cell space space 5 end cell end table close vertical bar$

Solution

open square brackets table row cell 2 straight x end cell cell space 0 end cell cell space space 1 end cell row 0 cell space 1 end cell cell space space 2 end cell row cell negative 1 end cell cell space 2 end cell cell space space 0 end cell end table close square brackets space equals space open vertical bar table row 1 cell space space space space 0 end cell cell space space space 0 end cell row 2 cell space space space space 3 end cell cell space minus 4 end cell row 3 cell negative 3 end cell cell space space 5 end cell end table close vertical bar rightwards double arrow space 2 straight x space open vertical bar table row 1 cell space space 2 end cell row 2 cell space space 0 end cell end table close vertical bar plus space open square brackets table row 0 cell space space 1 end cell row cell negative 1 end cell cell space space 2 end cell end table close square brackets equals space open square brackets table row 3 cell space minus 4 end cell row cell negative 3 end cell cell space space space space 5 end cell end table close square brackets rightwards double arrow space 2 straight x left parenthesis 0 minus 4 right parenthesis plus left parenthesis 0 plus 1 right parenthesis equals 15 minus 12 rightwards double arrow space space space minus 8 straight x plus 1 equals 3 space space space rightwards double arrow space 8 straight x equals negative 2 therefore space space space space straight x equals space begin inline style 1 fourth end style

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