For which value of the parameter does the linear system and have infinitely many solutions?
Answer and explanation
Correct answer: C.
- 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.
More Algebra, Polynomials and Functions questions
- What are the exact roots of the polynomial equation in the real domain?
- What is the remainder when the polynomial is divided by ?
- Which expression represents the horizontal asymptote of the rational function as…
- What is the exact solution set of the inequality for all real numbers ?
- Evaluate the exact numerical value of the expression .
- What is the domain of the real-valued function ?