Question

determinati numerele x,y,z stiind ca suna invers proportionale cu 1, ½, ⅓, daca 3x+y=39

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Answer 1

☆Explicație pas cu pas( De la A la Z):☆

x•1=y•½=z•⅓=k=>| x=k/1=>x=1k;

| => y=k/½=>y=k•2=>y=2k;

| z=k/½=>z=k•3=>z=3k;

3x+y=3•(1k)+2k=3k+2k=5k=39=>k=39/5=>k=7,8;

k=7,8=> | x=1k=>x=7,8;

| => y=2k=2•7,8=15,6;

| z=3k=3•7,8=23,4;

☆Verificare:☆

《3x+y=3•7,8+15,6=23,4+15,6=39✔》

☆Răspuns:☆

●x=7,8;

●y=15,6;

●z=23,4;