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555-605 (Medium)|   Algebra|      
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Bunuel
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If 2a + 3b = 7, what is the value of b ? (1) a − b = − 4 (2) 4a = 14 − 19 Nov 2018, 00:10
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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25% (medium)

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69% (00:54) correct 31% (01:00) wrong based on 177 sessions

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If 2a + 3b = 7, what is the value of b ?

(1) a − b = − 4
(2) 4a = 14 − 6b
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A
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Archit3110
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If 2a + 3b = 7, what is the value of b ? (1) a − b = − 4 (2) 4a = 14 − Updated on: 19 Nov 2018, 05:17
Originally posted by Archit3110 on 19 Nov 2018, 02:02.
Last edited by Archit3110 on 19 Nov 2018, 05:17, edited 1 time in total.
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Bunuel
If 2a + 3b = 7, what is the value of b ?

(1) a − b = − 4
(2) 4a = 14 − 6b
Show more


from question we can say b=(7-2a)/3--(1)

from 1: a= b-4
substitute in 1 we get b= 3
sufficient
from 2: a= (14-6b)/4
same as question 4a = 14 - 6b; 2a+3b=7 in sufficient hence A
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If 2a + 3b = 7, what is the value of b ? (1) a − b = − 4 (2) 4a = 14 − Updated on: 19 Nov 2018, 05:25
Originally posted by dollytaneja51 on 19 Nov 2018, 05:13.
Last edited by dollytaneja51 on 19 Nov 2018, 05:25, edited 1 time in total.
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Statement 1: Sufficient. With these two equations, we can calculate the value of b.

Statement 2: 4a = 14 - 6b
2a = 7 - 3b
2a + 3b = 7 same as the given equation.
Not sufficient

A is the correct answer

Posted from my mobile device
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If 2a + 3b = 7, what is the value of b ? (1) a − b = − 4 (2) 4a = 14 − 19 Nov 2018, 05:16
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dollytaneja51
Statement 1: Sufficient. With these two equations, we can calculate the value of b.

Statement 2: 4a = 14 - 7b
2a = 7 - 3b
2a + 3b = 7 same as the given equation.
Not sufficient

A is the correct answer

Posted from my mobile device
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dollytaneja51 stmnt 2 : 4a = 14 - 6b not 4a = 14 - 7b

so it would be same as question hence A is correct..
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If 2a + 3b = 7, what is the value of b ? (1) a − b = − 4 (2) 4a = 14 − 19 Nov 2018, 05:26
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Archit3110
dollytaneja51
Statement 1: Sufficient. With these two equations, we can calculate the value of b.

Statement 2: 4a = 14 - 7b
2a = 7 - 3b
2a + 3b = 7 same as the given equation.
Not sufficient

A is the correct answer

Posted from my mobile device

dollytaneja51 stmnt 2 : 4a = 14 - 6b not 4a = 14 - 7b

so it would be same as question hence A is correct..
Show more

It was a typing error. I have edited my post. Thanks.
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If 2a + 3b = 7, what is the value of b ? (1) a − b = − 4 (2) 4a = 14 − 02 Sep 2021, 07:07
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Bunuel
If 2a + 3b = 7, what is the value of b ?

(1) a − b = − 4
(2) 4a = 14 − 6b
Show more

Given: 2a + 3b = 7

Target question: What is the value of b ?

Key property: If we have a system of 2 different linear equations with two variables, then we can solve that system for each variable

Statement 1: a − b = − 4
Since this linear equation is different from the given linear equation (2a + 3b = 7), we have a system of two different linear equations with two variables, which means we COULD solve that system for a and b (although we would never waste valuable time on test day doing so)
Since we could answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: 4a = 14 − 6b
This equation seems similar to the given equation (2a + 3b = 7). So let's investigate further....
Take: 4a = 14 − 6b
Divide both sides by 2 to get: 2a = 7 - 3b
Add 3b to both sides to get: 2a + 3b + 7
Since statement 2 provides us with an equation that is equivalent to the given equation (2a + 3b = 7), we DON'T have a system of two different linear equations.
As such, we can't solve that system for a and b.
Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer: A

Cheers,
Brent
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If 2a + 3b = 7, what is the value of b ? (1) a − b = − 4 (2) 4a = 14 − 20 Jan 2024, 03:53
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