Mathematics: How to solve this problem with the steps

How to solve this problem with the steps

Ответ:

maliekadeans8499

16.01.2022

x = 3

Step-by-step explanation:

$\dfrac{7}{x-1}-\dfrac{5}{x}=\dfrac{11}{x^2-x}\\\\Domain:\\\\(x-1\neq0\ \wedge\ x\neq0\ \wedge\ x^2-x\neq0)\Rightarrow(x\neq-1\ \wedge\ x\neq1)\\===============================$

$\dfrac{7}{x-1}-\dfrac{5}{x}=\dfrac{11}{x^2-x}\\\\\dfrac{7\cdot x}{(x-1)\cdot x}-\dfrac{5\cdot(x-1)}{x\cdot(x-1)}=\dfrac{11}{x^2-x}\\\\\dfrac{7x}{x^2-x}-\dfrac{5x-5}{x^2-x}=\dfrac{11}{x^2-x}\\\\\dfrac{7x-5x+5}{x^2-x}=\dfrac{11}{x^2-x}\\\\\dfrac{2x+5}{x^2-x}=\dfrac{11}{x^2-x}\iff2x+5=11\qquad\text{subtract 5 from both sides}\\\\2x=6\qquad\text{divide both sides by 2}\\\\x=3\in D$

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Ответ:

markpop

06.02.2020

Mathematics

(2,1)

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

2x+(x-1)=5

3x-1=5

+1 +1

3x=6

x=2

y=2-1

y=1

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How to solve this problem with the steps

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