Question 721628
Short answer: Neither is true.<br>
If the determinant of the coefficient matrix is zero, then the system either has no solutions or an infinite number of solutions.<br>
A. False. The determinant of the coefficient matrix for this system works out to be -20. So it has a single solution.<br>
B. False. The statement is missing the "or an infinite number of solutions" part. (This might considered true if "no solution" was interpreted to mean "no single solution" or something to that effect.)