Question

Determinati numerele naturale x, y, z astfel incat x + y = 110, y+z=90. z+x=100.
(Dau coroana dacă pot)​

Answer 1

Sper ca te-am ajutat :)

Answer 2

Răspuns:

Avem un sistem de 3 ecuatii cu 3 necunoscute.

x+y=110

y+z=90

z+x=100

<=>

x=110-y

y+z=90

z+x=100

<=>

y+z=90

z+110-y=100

<=>

y=90-z

z-y=100-110

<=>

y=90-z

z-(90-z)=10

<=>

y=90-z

z-90+z=10

<=>

y=90-z

2z=10+90

<=>

y=90-z

2z=100 |:2

<=>

y=90-z

z=50

<=>

y=90-z=90-50=40

x=110-y=110-40=70