Neco Model Questions Vol1 2018 Mathematics Question 27

Practice objective / multiple choice question 27 from the 2018 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2018 Mathematics Objective / Multiple Choice Medium Difficulty
Question 27 NECO_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • objective

Find all integer values of \(k\) for which the system of linear equations\n\[ (k-1)x + 2y = 7 \\ 3x + (k+2)y = 13 \]\nhas an integer solution \((x,y)\). For each such \(k\) give the corresponding solution.

Answer Options

Correct Answer A. k = 2 gives (x, y) = (-1, 4); k = -10 gives (x, y) = (-1, -2)
B. k = 2 gives (x, y) = (-1, 4); k = -9 gives (x, y) = (-1, -2)
C. k = 2 gives (x, y) = (1, -4); k = -10 gives (x, y) = (-1, -2)
D. k = 3 gives (x, y) = (-1, 4); k = -10 gives (x, y) = (-2, -1)
Correct Answer
A
Correct Option:
k = 2 gives (x, y) = (-1, 4); k = -10 gives (x, y) = (-1, -2)

About This Question

This is Neco Model Questions Vol1 2018 Mathematics Question 27. It is one of the objective questions from the 2018 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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