For which value of the parameter does the linear system and have infinitely many solutions?

Answer and explanation

Correct answer: C.

  1. Step 1: Two linear equations in two variables have infinitely many solutions when their coefficients and constant terms are proportional: . Step 2. Since , setting gives . **Answer: . Why not the others:** produces intersecting lines with a unique solution; yields parallel inconsistent lines with no solution if constants differ.

Practise more Algebra, Polynomials and Functions.

Free questions with an explanation for every one, and full timed VWO / HAVO Centraal Examen (Netherlands) mock tests.

For which value of the… | VWO / HAVO Centraal Examen (Netherlands)