Answered

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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?

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 class=

Sagot :

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

[tex]\mleft\{\begin{aligned}2x-4y=6 \\ x-y=-3\end{aligned}\mright.[/tex]

If we replace the second equation by :

[tex]x-2y=-3[/tex]

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

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