Solve.
-x + y + z = 6
x - z = -2
Y + 3z = 11
A)no solution
B)(-1, 2, -3)
C)(1, 2, 3)
D)(0, 1, 2)

Question

Solve.
-x + y + z = 6 
x - z = -2
Y + 3z = 11
A)no solution
B)(-1, 2, -3)
C)(1, 2, 3)
D)(0, 1, 2)

Quizplus · Accepted Answer

From the given system of equations, we can solve for x, y, and z. Adding the first and second equations gives 2x + y = 4. Solving the third equation for y gives y = 11 - 3z. Substituting this into the modified first equation gives 2x + 11 - 3z = 4, which simplifies to 2x - 3z = -7. Using the second equation, x = z - 2. Substituting x in terms of z into the modified equation gives 2(z - 2) - 3z = -7, which simplifies to -z = -3, so z = 3. Substituting z = 3 into x = z - 2 gives x = 1. Finally, substituting z = 3 into the third equation gives y = 11 - 3(3) = 2. Therefore, the solution is (x, y, z) = (1, 2, 3).

Solve. -X + Y + Z = 6