SOLUTION: Decide whether the values of the variables listed are solutions of the system of equations. 3x + 3y + 2z = 4 x - y - z = 0 2y

SOLUTION: Decide whether the values of the variables listed are solutions of the system of equations. 3x + 3y + 2z = 4 x - y - z = 0 2y - 3z = -8 x= 1, y= -1, z= 2

Question 122285This question is from textbook Finite Mathematics An Applied Approach
: Decide whether the values of the variables listed are solutions of the system of equations.
3x + 3y + 2z = 4
x - y - z = 0
2y - 3z = -8
x= 1, y= -1, z= 2 This question is from textbook Finite Mathematics An Applied Approach

Answer by algebrapro18(249) (Show Source): You can put this solution on YOUR website!
All you need to do is plug all given values into the approperate variable and then see if all 3 equations do equal what they should.

3x + 3y + 2z = 4
x - y - z = 0
2y - 3z = -8

x= 1, y= -1, z= 2

3(1)+3(-1)+2(2) =4
3 -3 +4 = 4
4 = 4

1 +1 - 2 = 0
2 - 2 =0
0 = 0

2(-1) - 3(2) = -8
-2 -6 = -8
-8 = -8

since all three check out then x= 1, y= -1, z= 2 is a solution to the system of equations.
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