Neco 2025 Mathematics Question 6

Practice essay / theory question 6 from the 2025 Neco Mathematics examination. This question covers Linear Equations .

Neco 2025 Mathematics Essay / Theory
Topic: Linear Equations
Question 6 NECO • 2025 • MATHEMATICS • essay

The following system of linear equations in the variables x and y depends on a parameter p: (1) 3x + (p - 2) y = 7 (2) (p + 1) x - 4y = p

Question Parts

( a )
Determine the value(s) of p for which the system has a unique solution.
( b )
For p = 3, solve the system for x and y.
( c )
State whether there exists any value of p for which the system has infinitely many solutions. If such a value exists, give the relationship between x and y in that case.
( d )
Using the solution obtained in part (b), compute the value of S = 2x^2 - y + 5.

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About This Question

This is Neco 2025 Mathematics Question 6. It is one of the essay questions from the 2025 Neco Mathematics examination.

The question covers Linear Equations .

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