Question

Rezolvati in Q+ ecuatiile :
a)2/3 x -1 =1,(3)
b) 5/6 x - 1 1/2 =0,25
c)x:2/11=22/5
d)5x:3 1/8 = 0,25
e) 11/15:x =22/5
f)2 3/4 :x = 33/8
g) 5 1/4 : 2x = 6 1/8

Answer 1

a) 2x/3 = 12/9+9/9 ⇒ 2x/3=21/9⇒ x=21/9 : 2/3⇒ x=21/9 *3/2⇒ x=7/2=3,5
b) 5x/6= 1/4 +3/2=1/4+6/4=7/4 ⇒ x=7/4 : 5/6= 7/4 *6/5= 21/5=42/10⇒ x=4,2
c)x=22/5*2/11= 4/5⇒ x=4/5=8/10=0,8⇒ x=0,8
d)5x= 1/4 * 25/8=25/24⇒ x=25/24:5=25/24*1/5=5/24⇒ x=5/24
e)x=11/15 : 22/5= 11/15 * 5/22= 1/6 ⇒ x=1/6
f) 11/4 :x= 33/8⇒ x=11/4 : 33/8=11/4 * 8/33= 2/3⇒ x=2/3
g) 21/4 :2x= 49/8⇒ 2x= 21/4 : 49/8⇒ 2x=21/4 *8/49= 6/7⇒ 
⇒x=6/7 :2= 6/7 *1/2=6/14=3/7⇒ x=3/7