If the system of linear equations 2x + y − z = 3 x − y − z …

Maths Matrices and Determinants JEE Main 2021 Numeric Response

Published by: CGP EDU Academic Team

Published on: August 14, 2026

If the system of linear equations

2x + y − z = 3

x − y − z =

3x + 3y + βz = 3

has infinitely many solution, then is equal to .

Text Solution

Verified by Experts

The correct answer is:

(5)

2x(i) – (ii) – (iii) gives :

−(1 + β)z = 3 −

For infinitely many solution

β + 1 = 0 = 3 − ⇒ (α, β) = (3,−1)

Hence, + β − β = 5

Previous Question Next Question

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.