Steps To Solve A System - Elimination Method (2 Variable Linear System)

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@arawak3622 3 ай бұрын

Yours is a better explainer than I am having in my current math course, However I missed much of the lesson, having fallen asleep, and would love to replay it. Only, the wordiness of your presentation is the reason I fell asleep in the first place. I will, therfore, look elsewhere for more concise presentations.

@BritishBeachcomber 3 ай бұрын

X = 2, Y = 3 So simple, It just popped into my head in seconds.

@lj6079 3 ай бұрын

Hooray for you

@rdspam 3 ай бұрын

@@lj6079 not exactly a widely-applicable standardized methodology. 😂

@btpcmsag Ай бұрын

Here's your well-deserved happy face! . 🙂

@danielcase1046 3 ай бұрын

I'm very interested in mathematics. but I'm no good at it. Thank you for easing my mind.

@theperson4yearsago565 3 ай бұрын

X=2 Y=3 I did it in my head

@johnnyragadoo2414 3 ай бұрын

Why multiply anything? Subtract "x-y=-1" from "x+3y=11". x-x is zero, -y minus 3y is -4y, -1 minus 11 is -12. So, -4y = -12. Divide each side by -4 to get y=3.

@smbsmb31 3 ай бұрын

Cool lessons !!! Distance and action problems i hope you will make a video too

@larrywiener6327 3 ай бұрын

If you subtract the second equation from the first one you then have an equation that is easy to solve. Can you substitute. I was able to do it in my head

@argonwheatbelly637 3 ай бұрын

That's how I did it. Linear 101 stuff you learn in 8th grade.

@Carrieseafree 3 ай бұрын

Yeah I finally got one on my on! I had a traumatic brain injury 10 years ago. A big one.. I'm doing good but I'm 57 so I try to do things to keep my mind sharp and I did not like math

@mosmosman331 3 ай бұрын

Too much preamble and digression. Less explanation and straight to the point needed.

@panlomito 3 ай бұрын

There are more ways to solve this 2 variables and 2 equations... First way: it is easy to see with the second equation that if x - y = -1 -> x = y - 1 then substitude in the first equation x + 3y = 11 -> (y - 1) + 3y = 11 or 4y = 12 so y = 3 and x = y - 1 = 3 -1 = 2 OR y = x + 1 substituting x + 3.(x+1) = 11 so x + 3x + 3 = 11 and 4x = 11- 3 = 8 -> x = 2 and y = x + 1 = 2 + 1 = 3 Second way: substracting eq1 - eq2: (x + 3y = 11) - (x - y = - 1) -> 3y - (-y) = 11 - (-1) or 4y = 12 so y=3 OR substracting eq2 - eq1: (x - y = - 1) - (x + 3y = 11) -> x - y - x - 3y = - 1 - 11 -> - 4y = - 12 so y= 3

@russelllomando8460 3 ай бұрын

got x = 2, y = 3 isolate x = 11 - 3y substitute 11 - 3y - y = -1 y = 3 substitute again x - 3 = -1 x = 2 thanks for the fun

@chrisdissanayake6979 3 ай бұрын

Subtracting the second equation from the first equation, the signs in the second equation change and we get… X + 3Y = 11 -(1) -X + Y = 1 -(2) 4Y = 12 Y = 3 Substituting to the first equation… X + 9 = 11 X = 2 X = 2 Y = 3

@gillianrolland4305 3 ай бұрын

Exactly why multiply

@robertloveless4938 3 ай бұрын

Do you have to solve it if the answer just jumps out at you?

@ariley7202 3 ай бұрын

Yes, because next time it might not jump out & u will be lost.😮

@robertstuart6645 3 ай бұрын

This is a good, straightforward practice problem using Gaussian elimination. Simply multiply the bottom equation by, -1 then add the two equations. The "x" is eliminated, enabling you to solve for "y." Back substitute "y" into either of the two original equations to solve for "x."

@btpcmsag Ай бұрын

Happy face for me! 😊

@laobernadus5743 3 ай бұрын

4Y = 12. ---> Y = 3 X = 2

@ManojKumar-e3h5c 2 ай бұрын

Elimination method 12 y = 36 or y = 36÷12, y= 3 samikaran (i) mai y = 3 value put x + 3 y = 11, x = 11-9 = 2, x = 2 and y= 3 answer

@stevenjohnson1143 3 ай бұрын

Elimination is the quickest way multiply the bottom by -1 creating-x+y=1adding that to the top equation get 4y=12 this happens because the x terms are opposite of each other diving 4 from both sides gets y=3 taking that to either of the original equations I will select the both x-3=-1 adding 3 to both sides gets x=2 going to top equation and plugging both values in it does indeed check x=2y=3is correct

@gillianrolland4305 3 ай бұрын

Why multiply? Quicker and simpler to subtract bottom equation from top and eliminate x

@stevenjohnson1143 3 ай бұрын

@@gillianrolland4305 because if you at the second equation it reads x-y=-1 adding both equations as stated gets 2x+2y=10 and you would eliminate either variable. The step of multiplying by -1 make the elimination possible

@gillianrolland4305 3 ай бұрын

@@stevenjohnson1143 you don't add I said subtract then multiplying is not necessary

@stevenjohnson1143 3 ай бұрын

@@gillianrolland4305 You might be right however in most classes I have had you are to add the equations

@josephlaura7387 3 ай бұрын

X=2, y=3

@mauriziograndi1750 3 ай бұрын

If 3y=11-x, by inspection we see that 3(3)+2=11. So y=3, x=2. Confirming from second equation 2-3=-1. X=2, y=3. Obviously the method using the graph is the correct one.