Solve the system: x + y + z = 6, 2x – y + z = 3, x + y – z = 0Question 17Select one:a.(0, 0, 6)b.(3, 2, 1)c.(0, 0, 1)d.(1, 2, 3)e.None of these
Question
Solve the system: x + y + z = 6, 2x – y + z = 3, x + y – z = 0Question 17Select one:a.(0, 0, 6)b.(3, 2, 1)c.(0, 0, 1)d.(1, 2, 3)e.None of these
Solution
To solve the system of equations, we can use the method of substitution or elimination. Here, we will use the elimination method.
The system of equations is:
- x + y + z = 6
- 2x - y + z = 3
- x + y - z = 0
First, let's subtract the third equation from the first to eliminate y and z:
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- gives: x - x = 6 - 0, which simplifies to 0 = 6. This is not possible, so there is no solution to this system of equations. Therefore, the answer is e. None of these.
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