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alexandr402 [8]
3 years ago
12

Solve for x. In the equation 9x +1/3= x-13

Mathematics
2 answers:
Xelga [282]3 years ago
6 0

Answer:

Step-by-step explanation:

9x+\frac{1}{3}=x-13

9x*3+1/3=x-13

27x+1/3=x-13

27x+1=3(x-13)

27x+1=3x-39

27x-3x=-39-1

24x=-40

x=-5/3

x=-5/3

kirill115 [55]3 years ago
5 0

Answer:

x = - \frac{5}{3}

Step-by-step explanation:

Given

9x + \frac{1}{3} = x - 13 ( multiply through by 3 to clear the fraction )

27x + 1 = 3x - 39 ( subtract 3x from both sides )

24x + 1 = - 39 ( subtract 1 from both sides )

24x = - 40 ( divide both sides by 24 )

x = \frac{-40}{24} = - \frac{5}{3}

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\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }

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\large\underline{  \boxed{ \sf{✛\: Assumptions\:✛ }}}

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\large\underline{  \boxed{ \sf{✰\: let's\:solve }}}

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\rm { \pink➾ \:( 3x  - 4) + (3x - 8) = 180} \\ \rm { \pink➾}arranging \: and \: solving \: like \: terms \\ \rm { \pink➾ \: 3x + 3x - 4 - 8 = 180} \\ \rm { \pink➾ \: 6x - 12 = 180} \\ \rm  { \pink➾6x = 180  + 12}

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\rule{70mm}{2.9pt}

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