Question

Last question! Please show work. Really need to get this done in 1 hour

Answer 1

x = 1, y = 2 , z = 3

Explanation:

`6x\:+\:2y\:-4z\:=\:-2 \ \ \ \ \ \ \ \ \ -----( 1 ) \:\\\\-3x-4y\:+2z\:=\:-5 \ \ \ \ \ \ ------( 2 ) \:\\\\4x-\:6y\:+3z\:=\:1 \ \ \ \ \ \ \ \ \ \ \ \ ------- ( 3 ) \\\\( 2 ) * 2=> -6x -8y + 4z = -10 \ \ \ \ \ \ \ -----( 4)`

Now add ( 1 ) and (4)

`6x +2y -4z = - 2\\\\-6x-8y - 4z = -10\\\\=>0x -6y + 0 = - 12\\\\-6y = -12`

y = 2

Now multiply ( 1 ) by 2 and (3) by 3

`(1) * 2 => 12x + 4y -8z = -4\\\\(3) * 3 => 12x -18y +9z = 3\\\\Subtract \ the \ equation : ( 1) - ( 3) => 0x +22y -17z = -7` ------ ( 5 )

Substitute y = 2 in ( 5 ) :

`22(2) - 17z = - 7\\\\ 44 - 17z = - 7\\\\ -17z = - 7 - 44\\\\ -17z = -51\\\\`

z = 3

Substitute z = 3 and y = 2 in ( 1 ) :

`6x + 2y - 4z = - 2\\\\6x + 2( 2) -4( 3) = -2\\\\6x + 4 - 12 = -2\\\\6x - 8 = - 2\\\\6x = - 2 + 8 \\\\6x = 6\\`

x = 1