Linear Systems - No Solutions when this happens (Algebra Must Know)

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Linear systems - how to know when there is no solution. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at tcmathacademy.com/
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29 июн 2024

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Комментарии : 11

@cresinthiamitchell7804 Год назад

Love this channel! I'm such a geek

@kennethwright870 6 месяцев назад

They are parallel lines that cross the y-axis @ 1 & -3 respectively; therefore, they never intersect

@patsyfulhorst5892 Год назад

Thank you!!!!

@danak5538 Год назад

Slopes are the same (parallel), meaning there is no intersection….so no solution

@Herlongian Год назад

So y=2x+1. If 2nd equation starts with y=2x, there’s only 1 way to complete it and have an equation and it’s not with -3. It’s +1. You could write + 50/50 or -11+12 or 101-100. But ya can’t write -3.

@BfianMillerusedtobeis 9 месяцев назад

No APPARENT solutions due to the fact that NO NUMBER is just LINEAR.

@henkhu100 Год назад

Why add 3 to both sides? Substracting 2x gives -3=1 and that is just as inconsistent as 0=4. Don’t make math unnecesery difficult.

@kalimkazi5277 Год назад

It doesn't have any solution, as both the variables in both equation are equal and with same sign, moment you subtract one from.another equation, you get number value left over and variable gets escaped leaving constant equal to no variable... 😂

@TheHungryHoneyBadger Год назад

Ok, so if mathematicians want to call it an inconsistent system, so be it, I won’t judge. But the reason that the system has no solution is that the lines are parallel. You show that graphically, but you didn’t say it. So why don’t we just say it: the reason there is no solution is that we have an equation for each of two lines, and the lines are parallel.

@tjbellow2492 Год назад

He did show it in the first half of this video. He demonstrated that because the two linear equations have the same slope this makes the lines parallel. Same slope + different y int = parallel lines that never intercept.

@TheHungryHoneyBadger Год назад

@@tjbellow2492 yeah, I did find that later, my apologies to the instructor. My teacher used to just say that the solution is the empty set.