Question

5. The system 2x - 4y = 6 and 7- y = -3 is independent Replacing 2 - y = -3 with which of these equations would result in an inconsistent system?

Answer 1

A system is inconsistent when its two equations are contradictory. In this case we have:

`\mleft\{\begin{aligned}2x-4y=6 \\ x-y=-3\end{aligned}\mright.`

If we replace the second equation by :

`x-2y=-3`

We get an inconsistent system. Because the first equation and the second one would be contradicting itself. So the correct option is: B