What is the value of \(x\)?

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by Jay@ManhattanReview » Mon Nov 25, 2019 3:31 am
M7MBA wrote:What is the value of \(x\)?

(1) \(\dfrac{x}{7} + 5y = 109\)
(2) \(175y = 763(5 - x)\)

[spoiler]OA=C[/spoiler]

Source: Veritas Prep
Let's take each statement one by one.

Needless to state that each statement alone is sufficient to answer the question. Let' take both statements together.

The linear equation \(\dfrac{x}{7} + 5y = 109\) is manipulated to x = 763 - 35y and the linear equation \(175y = 763(5 - x)\) is manipulated to 763x/5 = 763 - 35y. Since RHS of both the equations are equal, we have x = 763x/5. The only possible value for x is 0. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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