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5. What is the solution to the system of equations? {-x + 2y + z = 10 { z = 6 {3x - 2y + 2z = 8 A: (0, 2, -6) B: (0, 2, 6) C: (-1, 2, 6) D: (0, -2, 6)

5. What is the solution to the system of equations? {-x + 2y + z = 10 { z = 6 {3x - 2y + 2z = 8 A: (0, 2, -6) B: (0, 2, 6) C: (-1, 2, 6) D: (0, -2, 6)
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5. What is the solution to the system of equations?

{-x + 2y + z = 10
{ z = 6
{3x - 2y + 2z = 8
A: (0, 2, -6)
B: (0, 2, 6)
C: (-1, 2, 6)
D: (0, -2, 6)

User Sinisha
by
8.7k points

1 Answer

5 votes
B.

This can be done by plugging 6 in for z in the first and third equations. After doing so, you can solve for either of the other two variables and get an answer based on the substitution method.
User Peacedog
by
7.4k points
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