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23 May 2018, 22:46
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:45) correct
22%
(01:47)
wrong
based on 205
sessions
History
Date
Time
Result
Not Attempted Yet
y = mx − 7
y = 12x + b
y = x + 1
If the three lines above all intersect at exactly one point, what is the value m + b?
(1) The x−coordinate at the point where all three lines meet is 8.
(2) The y−coordinate at the point where all three lines meet is 9.
y = 12x + b
y = x + 1
If the three lines above all intersect at exactly one point, what is the value m + b?
(1) The x−coordinate at the point where all three lines meet is 8.
(2) The y−coordinate at the point where all three lines meet is 9.
24 May 2018, 00:40
Kudos
Bookmarks
Bunuel
y = mx − 7
y = 12x + b
y = x + 1
If the three lines above all intersect at exactly one point, what is the value m + b?
(1) The x−coordinate at the point where all three lines meet is 8.
(2) The y−coordinate at the point where all three lines meet is 9.
y = 12x + b
y = x + 1
If the three lines above all intersect at exactly one point, what is the value m + b?
(1) The x−coordinate at the point where all three lines meet is 8.
(2) The y−coordinate at the point where all three lines meet is 9.
(1) results in the system simultaneous equations with \(3\) unknowns and \(3\) equations. Sufficient.
(2) the same is true: \(3\) unknowns and \(3\) equations. Sufficient.
Answer: D
24 May 2018, 01:55
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Solution
Given:
• The equations of three lines are:
- o y = mx – 7… equation 1
o y = 12x + b … equation 2
o y = x + 1 … equation 3
To find:
• The value of (m + b)
Analysing Statement 1
• As per the information provided in statement 1, the x−coordinate at the point where all three lines meet is 8
- o If we put x = 8 at equation 3, we will get y
o Putting the values of both x and y in equations 1 and 2, we will get the values of m and b respectively
o Therefore, we can find out the value of m + b
Analysing Statement 2
• As per the information provided in statement 2, the y−coordinate at the point where all three lines meet is 9
- o If we put y = 9 at equation 3, we will get x
o Putting the values of both x and y in equations 1 and 2, we will get the values of m and b respectively
o Therefore, we can find out the value of m + b
Hence, the correct answer is option D.
Answer: D
