Question

For what values of a and b the following simultaneous equations have an infinite number of solutions? $x + y + z = 5, x + 3y + 3z = 9$, and $x + 2y + \alpha z = \beta$.

• A. 2, 7
• B. 3, 8
• C. 8, 3
• D. 7, 2

Hint:

Infinite solutions occur when row reduction results in a row of zeros $(0,0,0 | 0)$.

Answer 1

The Correct Option is A