Question

Ex.8 Rezolvati in multimea R ecuatia

Answer 1

Răspuns:

Explicație pas cu pas:

Ex.8 Rezolvati in multimea R ecuatia

a) (8x-1)/5 -1=(50-2x)/9 + (3x+3)/4  ⇔(8x-1)/5 -5/5=[4(50-2x) + 9(3x+3)]/(4 ·9)  ⇔(8x-6)/5=(200-8x+27x+27)/36  ⇔(8x-6)/5=(19x+227)/36  ⇔

36(8x-6)=5(19x+227)  ⇔288x-216=95x+1135  ⇔288x-95x=1135+216  ⇔

193x=1351  ⇔x=1351/193=7   x=7

b) (3y+1)/3-(16-y)/6-(9y+1)/7=3 ⇔[14(3y+1)-7(16-y)-6(9y+1)]/42=3·42/42  ⇔

14(3y+1)-7(16-y)-6(9y+1)=3·42  ⇔42y+14-112+7y-54y-6=126  ⇔-5y=126+104  ⇔-5y=230  ⇔y=230/(-5)=-46     y=-46