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Matrices

Question
CBSEENMA12034187

Solve for x and y, given thatopen square brackets table row 3 cell space space minus 4 end cell row 1 cell space space space space space 2 end cell end table close square brackets space open square brackets table row x row y end table close square brackets equals open square brackets table row cell space 3 end cell row 11 end table close square brackets

Solution
open square brackets table row 3 cell space space minus 4 end cell row 1 cell space space space space space space 2 end cell end table close square brackets space open square brackets table row cell space straight x end cell row cell space straight y end cell end table close square brackets equals open square brackets table row cell space 3 end cell row 11 end table close square brackets
rightwards double arrow open square brackets table row cell 3 straight x space minus space 4 straight y end cell row cell straight x space space space plus space space 2 straight y end cell end table close square brackets equals space open square brackets table row cell space 3 end cell row 11 end table close square brackets
By space definition space of space equality space of space matrices.
3 x minus 4 straight y equals 3 space... left parenthesis 1 right parenthesis
straight x plus 2 straight y space equals 11... left parenthesis 2 right parenthesis
Multiplying space left parenthesis 1 right parenthesis space by space 1 space and left parenthesis 2 right parenthesis space by space 2 comma space we space get.
3 straight x minus 4 straight y equals 3 space... left parenthesis 3 right parenthesis
2 straight x plus 4 straight y space equals 22 space... left parenthesis 4 right parenthesis
Adding space left parenthesis 3 right parenthesis space and space left parenthesis 4 right parenthesis comma space we space get comma
5 straight x equals 25 space or space straight x equals 5
therefore space from left parenthesis 1 right parenthesis. space 15 minus 4 straight y equals 3 space or space 4 straight y equals 12 rightwards double arrow space straight y equals 3
therefore space we space have space straight x space equals 5 comma space straight y equals 3

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