Question

-2x + 2y + 3z = 0
-2x - y + z = -3
2x + 3y + 3z = 5

Answer 1

Steps:

isolate " x " for -2x + 2y + 3z = 0 ; x = - ( - 3z - 2y ) / 2

Subsititute : x = - ( - 3z - 2y ) / 2

- 2 * ( - ( - 3z - 2y ) / 2 ) - y + z = - 3

2 * ( - ( - 3z - 2y ) / 2 ) + 3y + 3z =5

isolate " z " for : - 2 ( - ( - 3z - 2y ) / 2 ) - y+ z = - 3 ; z = - ( - 3 + 3y / 2 )

subsititute z = - ( - 3 + 3y / 2 ) :

2* ( - ( -3* ( - ( - 3 +3y / 2 ) - 2y / 2 ) + 3y + 3 ( - ( - 3 + 3y / 2 ) = 5

isolate y for 2 ( -( - 3 ) - 3 + 3y / 2 ) - 2y / 2 ) + 3y + 3 ( - ( - 3 + 3y / 2 ) = 5

y = 1

for z = - ( - 3+ 3y ) / 2

subsititute y = 1

z = - ( - 3 + 3 * 1 ) / 2

z = 0

For x = - ( - 3z - 2y ) / 2

subsititute y = 1

subsititute z = 0

x = - ( - 3 *0 - 2 * 1 ) / 2

x = 1

x = 1 , y = 1 , z = 0