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13 Dec 2018, 01:16
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
83% (01:36) correct
17%
(01:44)
wrong
based on 120
sessions
History
Date
Time
Result
Not Attempted Yet
If 3x + 6y = 69 and 2x – y = 11, what is the value of y?
A. 6
B. 7
C. 8
D. 9
E. 10
A. 6
B. 7
C. 8
D. 9
E. 10
Bunuel
first equation:
3x + 6y = 69
3( x + 2y) = 69
x + 2y = 23.
Second equation :
2x – y = 11
4x - 2y = 22 .................Multiplying by 2.
Add both equation;
x + 2y = 23
4x -2y = 22.
....................................
5x = 45
x =9.
x + 2y =23
9 + 2y = 23
2y = 14.
y = 7.
The best answer is B.
13 Dec 2018, 01:27
Kudos
Bookmarks
Simultaneous equations with two variables - Eliminate one var
3x + 6y = 69
1) x + 2y = 23 ( cancelling 3 out)
2) 2x - y = 11
We need to eliminate x from 1 & 2
Multiply 1) by 2 and subtract 2) from it
2x + 4y = 46
- 2x - y = 11
5y = 35
y = 7
Hence Option (B) is our choice.
Best,
Gladi
3x + 6y = 69
1) x + 2y = 23 ( cancelling 3 out)
2) 2x - y = 11
We need to eliminate x from 1 & 2
Multiply 1) by 2 and subtract 2) from it
2x + 4y = 46
- 2x - y = 11
5y = 35
y = 7
Hence Option (B) is our choice.
Best,
Gladi
Bunuel
