If the system of linear equations 3x + y + β z = 3, 2x + α y - z = -3, x + 2y + z = 4 has infinitely many solutions, then the value of 22β - 9α is:

Matrices and Determinants: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q40

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumMatrices and Determinants245× since 2002

If the system of linear equations

3x + y + \beta z = 3

2x + \alpha y - z = -3

x + 2y + z = 4

has infinitely many solutions, then the value of

22\beta - 9\alpha

is:

JEE Main 2025 · April, Unspecified (session-level dataset) · Q40

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumMatrices and Determinants245× since 2002

If the system of linear equations

3x + y + \beta z = 3

2x + \alpha y - z = -3

x + 2y + z = 4

has infinitely many solutions, then the value of

22\beta - 9\alpha

is: