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solong [7]
2 years ago
11

3x=3(x-1) Step by step ( 20 pts )

Mathematics
1 answer:
sattari [20]2 years ago
8 0

Answer:

No solution.

Step-by-step explanation:

\textbf{Given that,}\\\\~~~~~~~~3x = 3(x-1)\\\\\\\implies \dfrac{3x}3 = \dfrac{3(x-1)}{3}~~~~~~~~~~~~~~~~~;\textbf{Dividing both sides by 3}\\\\\\\implies x = x-1\\\\\\\implies x-x = x-1-x~~~~~~~~~~~~~;\textbf{Subtracting}~ x ~ \textbf{from both sides} \\\\\\\implies 0 = -1\\\\\\\textbf{Which is not true, so there are no solutions.}

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Gelneren [198K]
<h3>18 months will pass before the two friends have the same hair length</h3>

<em><u>Solution:</u></em>

Let "x" be the number of months

Joni’s hair is 13 inches long and grows at an average rate of ⅔ in per month

Equation : 13 + \frac{2}{3}x ------- eqn\ 1

Her friend Kate’s hair is 16 inches long and grows at an average rate of ½ in per month

Equation: 16 + \frac{1}{2}x ----- eqn\ 2

<em><u>For two friends to have the same hair length, eqn 1 must be equal to eqn 2</u></em>

13 + \frac{2x}{3} = 16 + \frac{x}{2}\\\\\frac{2x}{3} - \frac{x}{2} = 16 - 13\\\\\frac{4x}{6} - \frac{3x}{6} = 3\\\\x = 18

Thus 18 months will pass before the two friends have the same hair length

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3 years ago
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Norma-Jean [14]

Answer:

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Answer:

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