Solve the set of equations x - y + z = 6, x + y + z = 10 and x - y - z = 4

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The following set of equations has to be solved for x, y and z:

x - y + z = 6 ...(1)

x + y + z = 10 ...(2)

x - y - z = 4 ...(3)

(1) - (3)

=> `2z = 2 => z = 1`

(2) + (3)

=> `2x = 14 => x = 7`

y = 10 - 7 - 1 = 2

The solution to the set of equations is {7, 2, 1}

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