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If 4x + 3y = 8

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If 4x + 3y = 8 [#permalink] New post 03 Sep 2019, 10:04
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If \(4x + 3y = 8\) and \(\frac{x}{2}=\frac{1}{4}\), what is the value of y ?

A. \(\frac{4}{3}\)

B. \(2\)

C. \(\frac{7}{3}\)

D. \(3\)

E. \(\frac{10}{3}\)
[Reveal] Spoiler: OA

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Re: If 4x + 3y = 8 [#permalink] New post 07 Sep 2019, 19:32
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Carcass wrote:
If \(4x + 3y = 8\) and \(\frac{x}{2}=\frac{1}{4}\), what is the value of y ?

A. \(\frac{4}{3}\)

B. \(2\)

C. \(\frac{7}{3}\)

D. \(3\)

E. \(\frac{10}{3}\)


Here,

\(\frac{x}{2}=\frac{1}{4}\)

or \(x = \frac{1}{2}\)

Since,

\(4x + 3y = 8\)

or \(4 * \frac{1}{2} + 3y = 8\) [ since \(x =\frac{1}{2}\)]

or \(3y = 6\)

or \(y = 2\)
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Re: If 4x + 3y = 8   [#permalink] 07 Sep 2019, 19:32
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