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When (\6\) is multiplied by \(x,\) the result is the same as when \(x\) is added to (\9.\) What is the value of

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by Vincen » Tue Oct 20, 2020 2:18 am

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When \(6\) is multiplied by \(x,\) the result is the same as when \(x\) is added to \(9.\) What is the value of \(\dfrac{x}3?\)

A. \(\dfrac25\)

B. \(\dfrac35\)

C. \(\dfrac65\)

D. \(\dfrac85\)

E. \(\dfrac95\)

Answer: B

Source: Magoosh
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Source: — Problem Solving |

Vincen wrote:
Tue Oct 20, 2020 2:18 am
When \(6\) is multiplied by \(x,\) the result is the same as when \(x\) is added to \(9.\) What is the value of \(\dfrac{x}3?\)

A. \(\dfrac25\)

B. \(\dfrac35\)

C. \(\dfrac65\)

D. \(\dfrac85\)

E. \(\dfrac95\)

Answer: B

Solution:

We can create the equation:

6x = x + 9

5x = 9

x = 9/5

Thus x/3 is (9/5)/3 = 9/15 = 3/5.

Answer: B

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