Find all ordered pairs ( x , y , z ) real numbers, which satisfy the followi

Gabriella Sellers

Gabriella Sellers

Answered question

2022-06-16

Find all ordered pairs ( x , y , z ) real numbers, which satisfy the following system of equations:
x y = z x y x z = y x z y z = x y z

Answer & Explanation

Turynka2f

Turynka2f

Beginner2022-06-17Added 17 answers

Hint:
x y = z x y ( x + 1 ) ( y + 1 ) = z + 1.
anginih86

anginih86

Beginner2022-06-18Added 8 answers

Another hint: Subtracting the third equation from the second reveals a constant value for z as long as x ≠ y

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