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inna [77]
1 year ago
15

ASAP PLEASE please please

Mathematics
2 answers:
jok3333 [9.3K]1 year ago
8 0

Answer:

b=\dfrac{8}{3}

Step-by-step explanation:

<u>Given equation</u>:

\dfrac{1}{b}+10=\dfrac{9}{b}+7

<u>Subtract</u> 10 from both sides:

\implies \dfrac{1}{b}+10-10=\dfrac{9}{b}+7-10

\implies \dfrac{1}{b}=\dfrac{9}{b}-3

<u>Multiply</u> both sides by b:

\implies \dfrac{1 \cdot b}{b}=\dfrac{9 \cdot b}{b}-3b

\implies 1=9-3b

<u>Add</u> 3b to both sides:

\implies 1+3b=9-3b+3b

\implies 3b+1=9

<u>Subtract</u> 1 from both sides:

\implies 3b+1-1=9-1

\implies 3b=8

<u>Divide</u> both sides by 3:

\implies \dfrac{3b}{3}=\dfrac{8}{3}

\implies b=\dfrac{8}{3}

Aleksandr [31]1 year ago
5 0

{ \qquad\qquad\huge\underline{{\sf Answer}}}

Let's solve ~

\qquad \sf  \dashrightarrow \:  \cfrac{1}{b}  + 10 =  \cfrac{9}{b}  + 7

\qquad \sf  \dashrightarrow \:  \cfrac{9}{b}  -   \cfrac{1}{b} =  10 -   7

\qquad \sf  \dashrightarrow \:  \cfrac{8}{b}   =  3

\qquad \sf  \dashrightarrow \: b =  \cfrac{8}{3}

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