1⁷/₉х -1¹/₉= 4²/₉(1-x)
¹⁶/₉х - ¹⁰/₉ = ³⁸/₉(1-x)
¹⁶/₉х - ¹⁰/₉ = ³⁸/₉ - ³⁸/₉x
¹⁶/₉х + ³⁸/₉x = ³⁸/₉ + ¹⁰/₉
¹⁶⁺³⁸/₉х = ⁴⁸/₉
⁵⁴/₉х = ⁴⁸/₉
6х = ⁴⁸/₉
x = ⁴⁸/₉ : 6
x = ⁴⁸/₉ × ¹/₆
x = ⁴⁸ˣ¹/₉ₓ₆
x = ⁸/₉
ПРОВЕРКА
1⁷/₉* ⁸/₉ -1¹/₉= 4²/₉(1-⁸/₉)
¹⁶/₉* ⁸/₉ -¹⁰/₉= ³⁸/₉* ¹/₉
¹⁶ˣ⁸/₉ₓ₉ -¹⁰/₉= ³⁸ˣ¹/₉ₓ₉
¹²⁸/₈₁ - ¹⁰/₉ = ³⁸/₈₁
¹²⁸/₈₁ - ⁹⁰/₈₁ = ³⁸/₈₁
¹²⁸⁻⁹⁰/₈₁ = ³⁸/₈₁
³⁸/₈₁ = ³⁸/₈₁