You can solve the problem with a single variable x representing the lower left box. The upper left box equals 8-x and the lower right box equals x-5. Then the upper right box can be expressed as both 21/(8-x) and 9/(x-5). Equating these two values yields x = 5.9, with the other three boxes equal to 2.1, 0.9 and 10.
English : It is simply a system of 4 equations with 4 unknowns. There are several methods to solve such a system. The simplest is the elimination method. And perhaps the simplest solution would be to use a spreadsheet calculator. There, you only enter the constants and the solution is in a few seconds. Czech : Je to prostě soustava 4 rovnic o čtyřech neznámých. Metod jak takovou soustavu řešit je několik. Nejjednodušší je vylučovací metoda. A snad úplně nejjednodušeji by to šlo řešit pomocí tabulkového kalkulátoru. Tam se pouze zadají konstanty a řešení je v několika vteřinách.
You can solve the problem with a single variable x representing the lower left box. The upper left box equals 8-x and the lower right box equals x-5. Then the upper right box can be expressed as both 21/(8-x) and 9/(x-5). Equating these two values yields x = 5.9, with the other three boxes equal to 2.1, 0.9 and 10.
Brilhante !
A×B=21, C-D=5, A+C=8, B×D=9
(A+C)-(C-D)=8-5
A+C-C+D=3
A+D=3
A=21/B, D=9/B
30/B=3
3B=30
B=10, A=2.1, D=0.9, C=5.9
a ↓ 8-a → 3-a ↑ 9/(3-a)
a → 21/a
21/a=9/(3-a), 7(3-a)=3a, 21=10a, a=2.1
(2.1 10)
(5.9 0.9)
English :
It is simply a system of 4 equations with 4 unknowns.
There are several methods to solve such a system. The simplest is the elimination method.
And perhaps the simplest solution would be to use a spreadsheet calculator. There, you only enter the constants and the solution is in a few seconds.
Czech :
Je to prostě soustava 4 rovnic o čtyřech neznámých.
Metod jak takovou soustavu řešit je několik. Nejjednodušší je vylučovací metoda.
A snad úplně nejjednodušeji by to šlo řešit pomocí tabulkového kalkulátoru. Tam se pouze zadají konstanty a řešení je v několika vteřinách.
+a×b-c=43
4+8-6+4=10
-d+e×f=15
1×4×8=32
a-8×d=-18
b+e=14
c+f=2
Incredible!
Nice presentation. But you need to be more specific: integer, rational...
"d" must be negative. I used d as negative and it worked, but different result and worked.
Excellent.
Thanks so much.
Very simple every body
3×3=9
9
Muchas gracias por compartir tan interesante video 😊😊. Realmente un sistema de ecuaciones con 4 incógnitas muy bien desarrollado y explicado.❤😊❤
21 = 1*21, 3*7, 7*3, 21*1
9 = 1*9, 3*3, 9*1
But no one equal x + y = 8 or x - z = 5
So the roots ≠ Z 😅😅😅
Nothing said it had to be integers.
@@jamesharmon4994 yes, But I proof that the root(s) aren't intenger 😊😊😊
@@andryvokubadra2644 oh, ok. I knew that before watching the video. LOL
great