Systems of Three Equations

Solve the following system of equations: x + y + z = 6 2x - y + 3z = 4 3x + 2y - z = 1

Determine the values of x, y, and z in the system of equations: x - 2y + z = 3 2x + y - 3z = -2 3x - y + 2z = 7

• x = 1, y = 2, z = 3

• x = 4, y = 5, z = 6

• x = -1, y = 0, z = 1

• x = 2, y = 1, z = 6

Solve the system of equations: x + y + z = 10 2x - y + 3z = 5 3x + 2y - z = 3

• x = 1, y = 2, z = 3

• x = -1, y = 6, z = 5

• x = -2, y = 3, z = 4

• x = 4, y = 5, z = 6

Find the solution to the following system of equations: 2x + 3y - z = 4 3x - 2y + 2z = 2 4x + y - 3z = 1

Determine the values of x, y, and z in the system of equations: x - 2y + z = 1 2x + y - 3z = -3 3x - y + 2z = 4

• x = 0, y = 0, z = 0

• x = 2, y = 2, z = 2

• x = 1, y = 1, z = 1

• x = -1, y = -1, z = -1

Find the solution to the following system of equations: 2x + 3y - z = 3 3x - 2y + 2z = 0 4x + y - 3z = 2

• x = 0, y = 0, z = 0

• x = -1, y = 2, z = 1

• x = 1, y = -1, z = 2

• x = 2, y = 1, z = -1

Determine the values of x, y, and z in the system of equations: x - 2y + z = 2 2x + y - 3z = -4 3x - y + 2z = 5

• x = 1, y = -1, z = 2

• x = 0, y = 0, z = 0

• x = -1, y = 2, z = 1

• x = 2, y = 1, z = -2

Solve the system by the method of your choice:

Solve the system of equations

• (-3,8,4)

• (-8,-3,4)

• (3, 8,4)

• (8,3,-4)

Solve the system of equations: x + y + z = 8 2x - y + 3z = 6 3x + 2y - z = 2