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# If a = 3b + 2, then, in terms of a, what is the value of b ?

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If a = 3b + 2, then, in terms of a, what is the value of b ?  [#permalink]

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26 Jun 2018, 04:23
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96% (00:29) correct 4% (00:21) wrong based on 55 sessions

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If a = 3b + 2, then, in terms of a, what is the value of b ?

A. $$b =\frac{a}{3}-\frac{2}{3}$$

B. $$b =\frac{a}{3}+\frac{2}{3}$$

C. $$b =\frac{a}{3}-2$$

D. $$b =a-\frac{2}{3}$$

E. $$b =a+\frac{2}{3}$$

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Re: If a = 3b + 2, then, in terms of a, what is the value of b ?  [#permalink]

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26 Jun 2018, 05:57

Solution

Given:
• a = 3b + 2

To find:
• The value of b, in terms of a

Approach and Working:
From the given equation, we can write:
• a = 3b + 2
Or, 3b = a – 2
Or, b = $$\frac{a}{3} – \frac{2}{3}$$

Hence, the correct answer is option A.

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Re: If a = 3b + 2, then, in terms of a, what is the value of b ?  [#permalink]

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26 Jun 2018, 10:08
Bunuel wrote:
If a = 3b + 2, then, in terms of a, what is the value of b ?

A. $$b =\frac{a}{3}-\frac{2}{3}$$

B. $$b =\frac{a}{3}+\frac{2}{3}$$

C. $$b =\frac{a}{3}-2$$

D. $$b =a-\frac{2}{3}$$

E. $$b =a+\frac{2}{3}$$

$$a = 3b + 2$$

Or, $$3b = a - 2$$

Or, $$b = \frac{a}{3} - \frac{2}{3}$$, Answer must be (A)
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If a = 3b + 2, then, in terms of a, what is the value of b ?  [#permalink]

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28 Jun 2018, 02:36
Bunuel wrote:
If a = 3b + 2, then, in terms of a, what is the value of b ?

A. $$b =\frac{a}{3}-\frac{2}{3}$$

B. $$b =\frac{a}{3}+\frac{2}{3}$$

C. $$b =\frac{a}{3}-2$$

D. $$b =a-\frac{2}{3}$$

E. $$b =a+\frac{2}{3}$$

Given,

a = 3b+2
a-2 = 3b
$$b =\frac{a-2}{3}$$
$$b =\frac{a}{3} - \frac{2}{3}$$

Thus the best answer is A.
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Re: If a = 3b + 2, then, in terms of a, what is the value of b ?  [#permalink]

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02 Jul 2018, 08:44
Bunuel wrote:
If a = 3b + 2, then, in terms of a, what is the value of b ?

A. $$b =\frac{a}{3}-\frac{2}{3}$$

B. $$b =\frac{a}{3}+\frac{2}{3}$$

C. $$b =\frac{a}{3}-2$$

D. $$b =a-\frac{2}{3}$$

E. $$b =a+\frac{2}{3}$$

Getting b in terms of a, we have:

a = 3b + 2

a - 2 = 3b

a/3 - 2/3 = b

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Re: If a = 3b + 2, then, in terms of a, what is the value of b ? &nbs [#permalink] 02 Jul 2018, 08:44
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