Question

rezolvati urmatoarele probleme:
a) Daca x supra 2 = y supra 5 si 3x+4y=52, determinati nr x si y
b) Daca x supra 4 = y supra 9 si 5x-y=88, determinati nr x si y
c) Daca x supra 2 = y supra 3 = z supra 4 si x+y+z = 18,determinati nr x,y si z
d) Daca x supra 3 = y supra 4 = z supra 5 si x+2y+3z = 104,determinati nr x,y si z
rezolvarea sa fie de clasa a 6 a va rog​

Answer 1

Răspuns:

a) x/2=y/5⇒5x=2y

3x+4y=52⇒3x+10x=52

13x=52

x=4

4/2=y/5⇒y=4x5:2=10

b) x/4=y/9⇒9x=4y

5x-y=88  /x4

20x-4y=352

20x-9x=352

11x=352

x=32

32/4=y/5⇒y=32x9:4=288:4=72

c) x/2=y/3=z/4⇒3x=2y         4y=3z

x+y+z=18   /x3

3x+3y+3z=54

2y+3y+4y=54

9y=54

y=6

x/2=6/3⇒x=6x2:3=4

6/3=z/4⇒z=6x4:3=8

d)x/3=y/4/=z/5⇒4x=3y       5y=4z

x+2y+3z=104 /x4

4x+8y+12z=416

3y+8y+15y=416

26y=416

y=16

x/3=16/4⇒x=16x3:4=12

16/4=z/5⇒z=16x5:4=20

Explicație pas cu pas: