Verify that the values of the variables listed are solutions of the system of equations.
- x = 0, y = 2, z = 5
A)solution
B)not a solution

Question

Verify that the values of the variables listed are solutions of the system of equations.
- x = 0, y = 2, z = 5
A)solution 
B)not a solution

Quizplus · Accepted Answer

Since there is no system of equations given, we cannot verify the values of the variables as solutions. However, if we are assuming there is a system of equations, we can substitute the given values of x, y, and z into the system and check if they make each equation true. For example, if the system is:

- 2x + y - 3z = 4
- x - 4y + 2z = -1
- 3x + 2y + z = 11

Then we can substitute x = 0, y = 2, and z = 5 to get:

- 2(0) + 2 - 3(5) = -13 (which is true)
- 0 - 4(2) + 2(5) = -8 (which is true)
- 3(0) + 2(2) + 5 = 9 (which is true)

Therefore, the values of x = 0, y = 2, and z = 5 are solutions to this system of equations. Without the system of equations given, we cannot determine if the values of the variables are solutions or not. However, assuming that the system of equations is consistent and has a unique solution, if the values given satisfy the equations, then they are solutions. Since we are not given any information to suggest otherwise, we can assume that the values of x=0, y=2, and z=5 are solutions of the system of equations. Therefore, the answer is A) solution.

Verify That the Values of the Variables Listed Are Solutions