It's not what you think to solve simultaneous equations

[@brianmclogan]

✅ Always follow this rule when solving a system of equations - kzbin.info/www/bejne/jXfKnHqaqttph8U

[@jimmonroe5193]

Love this approach as it requires "complicating" the first equation, which is something my students struggle with conceptually. Could you not treat x-y as a difference of squares from the start, or do you think the square/square root step is necessary for understanding? Two alternative approaches, you can substitute y=x-17 into the second equation and solve for x, though it takes squaring both sides twice while solving. Also, you can substitute m=sqrt(x) and n=sqrt(y) to turn get m+n=17 and m^2-n^2=17, and then substitute n=17-m into the second equation and solve.

[@JashXD]

all i did was add y to both sides on the first equation and take square root so you get sqrt(x)=sqrt(y+17) then in the second equation subtract sqrt(y) so you get sqrt(x)=17-sqrt(y) and then set them equal so sqrt(y+17)=17-sqrt(y) and from there its pretty easy to solve

[@ranjithamarakoon8842]

Nice explain.

[@nishantsensei7729]

Hey Mr McLogan! You made this problem seem so easy since other math youtubers did this same problem and did something so much more difficult! Thank you so much!!

[@JM-zr1xw]

Does this solution work if two equations does not equate to a same number?

[@isaaclivai]

Hey man, aren't you supposed to square the 17 since you squared the square root of x and y? Just a query here🙂

[@JM-zr1xw]

Try evaluating (√x)² and it should be x again! Its like multiplying 2/2 to x and it is still x after you simplify it. He did that so he can use this rule (x²-y²)=(x+y)(x-y) to get √x +√y. I hope my explanation works. Edit: he made x-y to (√x)²-(√y)² if that's what confused you

[@isaaclivai]

@@JM-zr1xw that's right thanks alot.. Either ways he's still gonna have the same answer right

[@thatomofolo452]

Facts 💯

[@IrshadAli-zq6st]

Fantastic 😊👍

[@NotNagruf]

It is crazy how we can find 2 unknown numbers that equal 17 using 2 problems!

[@nickmiller4331]

I need your help

[@sambamcunninghamm]

Were you a teacher for Eagle High School in Idaho? Or still are?

[@brianmclogan]

No

[@maureencelso2177]

❤

[@ronniel4031]

😊❤

[@Seb2006-y4x]

It’s Radical Systems of Equations