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# If 4x + 3y = 8

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If 4x + 3y = 8 [#permalink]  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]  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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