Răspuns :

a) x/y = 7/5 => x=y×7/5

x-y=24=>7y/5 - y =24

(amplificăm y si 24 cu 5 )

=>7y/5-5y/5=120/5

=> 7y-5y=120 => 2y=120 => y=120:2=>y=60

x=60+y=>x=60+12=>x=72

b)x+y=36 => 7y/5 +y=36

(amplificăm y si 36 cu 5)

=> 7y/5+5y/5=180/5=>7y+5y=180=>12y=180=>y=180:12=>y=15

x=36-y=>x=36-15 =>x=21

c)2x+3y=58=>2×(7y/5)+3y=58 =>

14y/5+3y=58

(amplificăm 3y si 58 cu 5)

=> 14y/5 +15y/5=290/5

=> 14y+15y=290=>29y=290=>y=290:29=>y=10

x=7y/5=>x=7×10/5=>x=7×10/5=>x=70/5=>x= 14