Предмет: Алгебра, автор: Anastatio

7. Розв'яжіть рiвняння : (3x + 5)/x = (2x - 5)/(3x)

Ответы

Автор ответа: SpringScorpion
2

Ответ:

(3x + 5)/x = (2x - 5)/(3x)

\frac{3x+5}{x} =\frac{2x-5}{3x}

3x*\frac{3x+5}{x} =3x*\frac{2x-5}{3x}

3(3x + 5) = 2x - 5

9x + 15 = 2x - 5

9x + 15 - 15 = 2x - 5 - 15

9x = 2x - 20

9x - 2x = 2x - 20 - 2x

7x = -20

x=-\frac{20}{7}

Объяснение:

Сподіваюсь, допомогла

Автор ответа: Mikail2006
6

Ответ:

\boldsymbol{x=-2\frac{6}{7}}

Объяснение:

\displaystyle \frac{3x+5}{x}=\frac{2x-5}{3x}\\\\\frac{3x+5^{(3}}{x}-\frac{2x-5}{3x}=0\\\\\frac{3(3x+5)}{3x}- \frac{2x-5}{3x}=0\\\\\frac{3(3x+5)-(2x-5)}{3x} =0|*3x\\\\3(3x+5)-(2x-5)=0\\\\9x+15-2x+5=0\\\\(9x-2x)+(15+5)=0\\\\7x+20=0\\\\7x=-20|:7\\\\x=-2\frac{6}{7}

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