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Determinants

Question
CBSEENMA12035692

If open vertical bar table row cell 3 straight x end cell cell space 7 end cell row cell negative 2 end cell cell space 4 end cell end table close vertical bar space equals open vertical bar table row 8 cell space 7 end cell row 6 cell space 4 end cell end table close vertical bar comma find the value of x.

Solution

Given that open vertical bar table row cell 3 straight x end cell cell space space 7 end cell row cell negative 2 end cell cell space 4 end cell end table close vertical bar space equals space open vertical bar table row 8 cell space space space 7 end cell row 6 cell space space space 4 end cell end table close vertical bar
We need to find the value of x
open vertical bar table row cell 3 straight x end cell cell space space 7 end cell row cell negative 2 end cell cell space 4 end cell end table close vertical bar space equals space open vertical bar table row 8 cell space space space 7 end cell row 6 cell space space space 4 end cell end table close vertical bar
rightwards double arrow space space space 12 straight x minus left parenthesis negative 14 right parenthesis space equals space 32 minus 42
rightwards double arrow space space 12 straight x plus 14 space equals negative 10
rightwards double arrow space space 12 straight x space equals space minus 10 minus 14
rightwards double arrow space 12 straight x space equals space minus 24
rightwards double arrow space space straight x space equals space minus 2

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