³/₄х-²/₃х+1=¹/₂х+¹/₆
³/₄х-²/₃х-¹/₂х = ¹/₆ - 1
³ˣ³/₁₂х-²ˣ⁴/₁₂х-¹ˣ⁶/₁₂х = - ⁵/₆
⁹/₁₂х-⁸/₁₂х-⁶/₁₂х = - ⁵/₆
⁹⁻⁸⁻⁶/₁₂х = - ⁵/₆
- ⁵/₁₂х = - ⁵/₆
х = (- ⁵/₆) : (-⁵/₁₂)
х = (- ⁵/₆) × (-¹²/₅)
х = ⁵ˣ¹²/₆ₓ₅
х = ¹²/₆
x = 2
Проверка
³/₄×2-²/₃×2+1=¹/₂×2+¹/₆
³ˣ²/₄ - ²ˣ²/₃ +1 = ²/₂+¹/₆
⁶/₄ - ⁴/₃ +1 = 1+¹/₆
³/₂ - ⁴/₃ +1 = 1¹/₆
³ˣ³/₆ - ⁴ˣ²/₆ +1 = 1¹/₆
⁹/₆ - ⁸/₆ +1 = 1¹/₆
¹/₆ +1 = 1¹/₆
1¹/₆ = 1¹/₆
***************
x+³/₇=2х-¹/₅
x - 2x = -¹/₅-³/₇
- x = -¹ˣ⁷/₃₅-³ˣ⁵/₃₅
- x = -⁷/₃₅-¹⁵/₃₅
- x = -²²/₃₅
x = ²²/₃₅
Проверка
²²/₃₅+³/₇=2ײ²/₃₅-¹/₅
²²/₃₅+³ˣ⁵/₃₅=⁴⁴/₃₅-¹ˣ⁷/₃₅
²²/₃₅+¹⁵/₃₅=⁴⁴/₃₅-⁷/₃₅
³⁷/₃₅=³⁷/₃₅
1²/₃₅ = 1²/₃₅