If the system of linear equations: x+y+z=6, x+2y+5z=10, 2x+3y+λ z=μ has infinitely many solutions, then the value of λ+μ equals:

Matrices and Determinants: JEE Main 2026 Mathematics question

JEE Main 2026 · 8 Apr, Evening shift · Q3

JEE Main 20268 Apr, Evening shiftMathematicsEasyMatrices and Determinants245× since 2002

If the system of linear equations:

x+y+z=6

x+2y+5z=10

2x+3y+\lambda z=\mu

has infinitely many solutions, then the value of

\lambda+\mu

equals :

JEE Main 2026 · 8 Apr, Evening shift · Q3

JEE Main 20268 Apr, Evening shiftMathematicsEasyMatrices and Determinants245× since 2002

If the system of linear equations:

x+y+z=6

x+2y+5z=10

2x+3y+\lambda z=\mu

has infinitely many solutions, then the value of

\lambda+\mu

equals :