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котик1912
@котик1912
July 2022
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Решите уравнение: 5y-4 2/7 (2 1/3y+1 1/6)=3 1/3.
2 3/8 (1/3-3x)+5/8 (1/3-3x)=1
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ПростоЛёка
Verified answer
5y-4²/₇(2¹/₃y+1¹/₆)=3¹/₃
5y-(4²/₇×2¹/₃y+4²/₇×1¹/₆)=3¹/₃
5y-(³⁰/₇×⁷/₃y+³⁰/₇×⁷/₆)=3¹/₃
5y-(10y+5)=3¹/₃
5y-10y-5=3¹/₃
-5y=3¹/₃+5
-5y=8¹/₃
-y=8¹/₃:5
-y=²⁵/₃:⁵/₁
-y=²⁵/₃×¹/₅
-y=⁵/₃
y= -⁵/₃
y= -1²/₃
******************
2
³/₈ (¹/₃-3x)+⁵/₈ (¹/₃-3x)=1
2³/₈×¹/₃-2³/₈×3x+⁵/₈×¹/₃-⁵/₈×3x=1
¹⁹/₈×¹/₃-¹⁹/₈×3x+⁵/₈×¹/₃-⁵/₈×3x=1
¹⁹/₂₄-⁵⁷/₈x+⁵/₂₄-¹⁵/₈x=1
²⁴/₂₄-⁴²/₈x=1
1-5²/₈x=1
-5²/₈x=1-1
-5,25x=0
x=0
Проверка
2³/₈ (¹/₃-3×0)+⁵/₈ (¹/₃-3×0)=1
2³/₈ (¹/₃-0)+⁵/₈ (¹/₃-0)=1
2³/₈×¹/₃+⁵/₈×¹/₃=1
¹⁹/₈×¹/₃+⁵/₈×¹/₃=1
¹⁹/₂₄+⁵/₂₄=1
²⁴/₂₄=1
1=1
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Answers & Comments
Verified answer
5y-4²/₇(2¹/₃y+1¹/₆)=3¹/₃5y-(4²/₇×2¹/₃y+4²/₇×1¹/₆)=3¹/₃
5y-(³⁰/₇×⁷/₃y+³⁰/₇×⁷/₆)=3¹/₃
5y-(10y+5)=3¹/₃
5y-10y-5=3¹/₃
-5y=3¹/₃+5
-5y=8¹/₃
-y=8¹/₃:5
-y=²⁵/₃:⁵/₁
-y=²⁵/₃×¹/₅
-y=⁵/₃
y= -⁵/₃
y= -1²/₃
******************
2³/₈ (¹/₃-3x)+⁵/₈ (¹/₃-3x)=1
2³/₈×¹/₃-2³/₈×3x+⁵/₈×¹/₃-⁵/₈×3x=1
¹⁹/₈×¹/₃-¹⁹/₈×3x+⁵/₈×¹/₃-⁵/₈×3x=1
¹⁹/₂₄-⁵⁷/₈x+⁵/₂₄-¹⁵/₈x=1
²⁴/₂₄-⁴²/₈x=1
1-5²/₈x=1
-5²/₈x=1-1
-5,25x=0
x=0
Проверка
2³/₈ (¹/₃-3×0)+⁵/₈ (¹/₃-3×0)=1
2³/₈ (¹/₃-0)+⁵/₈ (¹/₃-0)=1
2³/₈×¹/₃+⁵/₈×¹/₃=1
¹⁹/₈×¹/₃+⁵/₈×¹/₃=1
¹⁹/₂₄+⁵/₂₄=1
²⁴/₂₄=1
1=1