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Alexandra [31]
2 years ago
5

Solution set of 5/11x+1/3=3/7-6/11x+3/7

Mathematics
1 answer:
kirill115 [55]2 years ago
6 0

\frac{5}{11x}  +  \frac{1}{3}  =  \frac{3}{7}  -  \frac{6}{11x}  +  \frac{3}{7}  \\  \frac{11}{11x}  =  \frac{6}{7}  -  \frac{1}{3}  \\  \frac{1}{x}  =  \frac{11}{21}  \\ x =  \frac{21}{11}  = 1 \frac{10}{11}

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Step-by-step explanation:

\frac{\frac{1}{c}+\frac{1}{h}}{\frac{1}{c^2}-\frac{1}{r^2}}

Combine \frac{1}{c} + \frac{1}{h}

\frac{\frac{h+c}{ch}}{\frac{1}{c^2}-\frac{1}{r^2}}

Combine the bottom, too.

=\frac{\frac{h+c}{ch}}{\frac{r^2-c^2}{c^2r^2}}

Apply the fraction rule

=\frac{\left(h+c\right)c^2r^2}{ch\left(r^2-c^2\right)}

Cancel

=\frac{\left(h+c\right)cr^2}{h\left(r^2-c^2\right)}

Therefore, \frac{\left(\frac{1}{c}+\frac{1}{h}\right)}{\left(\frac{1}{\left(c^2\right)}-\frac{1}{\left(r^2\right)}\right)}:\quad \frac{\left(h+c\right)cr^2}{h\left(r^2-c^2\right)}

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