Find X and Y, if 2x+ 3Y = $open square brackets table row 2 3 row 4 0 end table close square brackets space and space 3 straight X plus 2 straight Y equals open square brackets table row 2 cell negative 2 end cell row cell negative 1 end cell 5 end table close square brackets$

Name: Wired Faculty - The Best Learning App
Rating: 4.6 (1864 reviews)

Solution

2 straight X plus 3 straight Y equals open square brackets table row 2 3 row 4 0 end table close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space... left parenthesis 1 right parenthesis 3 straight X plus 2 straight Y equals open square brackets table row 2 cell negative 2 end cell row cell negative 1 end cell 5 end table close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space... left parenthesis 2 right parenthesis

Multiplying (1) by 2 and (2) by 3, we.get,

4 straight X plus 6 straight Y space equals space open square brackets table row 4 6 row 8 0 end table close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space comma.. left parenthesis 3 right parenthesis 9 straight X plus 6 straight Y equals space open square brackets table row 6 cell negative 6 end cell row cell negative 3 end cell 15 end table close square brackets space space space space space space space space space space space space space space space space space space space space space space... left parenthesis 4 right parenthesis

Subtracting (3) from (4), we ge},

5 straight X equals open square brackets table row cell 6 minus 4 end cell cell negative 6 minus 6 end cell row cell negative 3 minus 8 end cell cell 15 minus 0 end cell end table close square brackets therefore space space 5 straight X equals open square brackets table row 2 cell negative 12 end cell row cell negative 11 end cell cell negative 15 end cell end table close square brackets space space space space space space rightwards double arrow straight X equals 1 fifth open square brackets table row 2 cell negative 12 end cell row cell negative 11 end cell 15 end table close square brackets therefore space space space space straight X equals open square brackets table row cell 2 over 5 end cell cell negative 12 over 5 end cell row cell negative 11 over 5 end cell 3 end table close square brackets therefore space space space from left parenthesis 1 right parenthesis comma space open square brackets table row cell 4 over 5 end cell cell negative 24 over 5 end cell row cell negative 22 over 5 end cell 6 end table close square brackets therefore space space space 3 straight Y equals space open square brackets table row 2 3 row 4 0 end table close square brackets minus open square brackets table row cell 4 over 5 end cell cell negative 24 over 5 end cell row cell negative 22 over 5 end cell 6 end table close square brackets therefore space space space 3 straight Y equals open square brackets table row cell 2 minus 4 over 5 end cell cell 3 plus 24 over 5 end cell row cell 4 plus 22 over 5 end cell cell 0 minus 6 end cell end table close square brackets space space rightwards double arrow space 3 straight Y equals open square brackets table row cell 6 over 5 end cell cell 39 over 5 end cell row cell 42 over 5 end cell cell negative 6 end cell end table close square brackets therefore space space space space straight Y equals 1 third open square brackets table row cell 6 over 5 end cell cell 39 over 5 end cell row cell 42 over 5 end cell cell negative 6 end cell end table close square brackets space rightwards double arrow space straight Y equals open square brackets table row cell 2 over 5 end cell cell 13 over 5 end cell row cell 14 over 5 end cell cell negative 2 end cell end table close square brackets

For Daily Free Study Material Join wiredfaculty

Matrices

Find X and Y, if 2x+ 3Y = $open square brackets table row 2 3 row 4 0 end table close square brackets space and space 3 straight X plus 2 straight Y equals open square brackets table row 2 cell negative 2 end cell row cell negative 1 end cell 5 end table close square brackets$

Some More Questions From Matrices Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction