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Ostrovityanka [42]
2 years ago
11

What is the solution of x +

frac{1}{5}" align="absmiddle" class="latex-formula"> (x - 1) = 1?
A. 1
B. \frac{1}{3}
C. \frac{2}{3}
D. \frac{5}{3}
Mathematics
2 answers:
givi [52]2 years ago
6 0
Your answer would be A.1
patriot [66]2 years ago
5 0

Answer:

\boxed{A. \: 1}

Step-by-step explanation:

=  > x +  \frac{1}{5} (x - 1) = 1 \\  \\  =  > x + ( \frac{1}{5}  \times x) -  (\frac{1}{5}  \times 1) = 1 \\  \\  =  > x +  \frac{x}{5}  -  \frac{1}{5}  = 1 \\  \\  =  >( x \times  \frac{5}{5} ) +  \frac{x}{5}  -   \frac{1}{5}  = 1 \\  \\  =  >  \frac{5x}{5}  +  \frac{x}{5}  = 1 +  \frac{1}{5}  \\  \\  =  >  \frac{5x + x}{5}  = (1 \times  \frac{5}{5} ) +  \frac{1}{5}  \\  \\  =  >  \frac{6x}{5}  =  \frac{5}{5}  +  \frac{1}{5}  \\  \\  =  >  \frac{6x}{ \cancel{5}}  =  \frac{5 + 1}{ \cancel{5}}  \\  \\  =  > 6x = 6 \\  \\  =  > x =  \frac{ \cancel{6}}{ \cancel{6}}  \\  \\  = > x = 1

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