## When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 8, the

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### When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 8, the

by BTGmoderatorDC » Sat Sep 04, 2021 5:58 pm

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When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 8, the quotient is 3y and the remainder is 2. What is the value of 13y – x ?

A. -4
B. -2
C. 0
D. 2
E. 4

OA D

Source: Magoosh

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### Re: When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 8, the

by swerve » Tue Sep 07, 2021 3:14 am
BTGmoderatorDC wrote:
Sat Sep 04, 2021 5:58 pm
When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 8, the quotient is 3y and the remainder is 2. What is the value of 13y – x ?

A. -4
B. -2
C. 0
D. 2
E. 4

OA D

Source: Magoosh
From the question stem, we can get two equations:

\begin{align*}
\begin{cases}
Now, subtracting $$(2)$$ from $$(1),$$ we get:
$$-x = -13y + 2 \Rightarrow 13y - x = 2 \Rightarrow$$ D