Let the system of equations x + 5y - z = 1 4x + 3y - 3z = 7 24x +… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 7 April, Shift 2Solving Linear Equations (Matrix Method)

Let the system of equations $x + 5y - z = 1$ $4x + 3y - 3z = 7$ $24x + y + \lambda z = \mu$ where $\lambda, \mu \in \mathbb{R}$ , have infinitely many solutions. Then the number of the solutions of this system, if $x, y, z$ are integers and satisfy $7 \leq x + y + z \leq 77$ , is:

A
$3$
B
$6$
C
$5$
D
$4$

Answer & step-by-step solution

Practice more Solving Linear Equations (Matrix Method) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Solving Linear Equations (Matrix Method)

Answer & step-by-step solution

Practice more Solving Linear Equations (Matrix Method) questions

Related questions