Which system is the only inconsistent system? y=x-3 y=3x-1 y=3x-6 y=3x+6 y=x-3 y=-x-1 y=3x-2 2y=6x-4

To determine which system is inconsistent, we need to check if there is any system that has no solution.<br /><br />Let's analyze each system:<br /><br />1. $y=x-3$<br /> $y=3x-1$<br /> This system has a unique solution.<br /><br />2. $y=3x-6$<br /> $y=3x+6$<br /> This system has no solution.<br /><br />3. $y=x-3$<br /> $y=-x-1$<br /> This system has a unique solution.<br /><br />4. $y=3x-2$<br /> $2y=6x-4$<br /> This system has a unique solution.<br /><br />Therefore, the only inconsistent system is:<br />$y=3x-6$<br />$y=3x+6$