Determine whether the given problem is an equation or an expression. If it is an

ka1leE 2021-09-23 Answered

Determine whether the given problem is an equation or an expression. If it is an equation, then solve. If it is an expression, then simplify. \(x + \frac{(3x - 1)}{9} - 4 = \frac{3x + 1}{3}\)

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Expert Answer

jlo2niT
Answered 2021-09-24 Author has 22049 answers
Step 1
The given problem is equation.
\(\displaystyle{x}+{\frac{{{3}{x}-{1}}}{{{9}}}}-{4}={\frac{{{3}{x}+{1}}}{{{3}}}}\)
we need to solve the given equation.
\(\displaystyle{x}+{\frac{{{3}{x}-{1}}}{{{9}}}}-{4}={\frac{{{3}{x}+{1}}}{{{3}}}}\)
\(\displaystyle{\frac{{{9}{x}}}{{{9}}}}+{\frac{{{3}{x}-{1}}}{{{9}}}}-{\frac{{{4}\times{9}}}{{{9}}}}={\frac{{{3}{x}+{1}}}{{{3}}}}\)
\(\displaystyle{\frac{{{9}{x}+{3}{x}-{1}-{36}}}{{{9}}}}={\frac{{{3}{x}+{1}}}{{{3}}}}\)
Step 2
12x-37=3(3x+1)
12x-37=9x+3
12x-9x=37+3
3x=40
\(\displaystyle{x}={\frac{{{40}}}{{{3}}}}\)
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