Question

Rezolvati in Q + ecuatiile
a) 2 (x+1/5)=7/4
b) 0,25 ( x + 6/7 )=5/7
c) 0,5 ( × + 2/9 )=0,75
d) 3/5 (×-1/2 ) = 6
e) 0, (2) * ( × -1)=7/4
f ) 1/7 [ ×-0,(23) ] =5/14
g) 3,75 [×-0, (3) ] =5/144
h) 1, (3) * (3×-0,75 )=1/3
I ) 5/7 [ 4× -0,6 (3) =10/21

Answer 1

a) 2(5x+1)/5=7/4
8(5x+1)=35
40x+8=35
40x=27
x=27/40
b) 1/4(7x+6)/7=5/7
(7x+6)/28=5/7 |•7
(7x+6)/4=5
7x+6=20
7x=14
x=2
c) 1/2(9x+2)/9=3/4
(9x+2)/18=3/4
4(9x+2)=54 |:2
2(9x+2)=27
18x+4=27
18x=23
x=23/18
d) 3/5(2x-1)/2=6
3(2x-1)/10=6
6x-3=60
6x=63 |:3
2x=21
x=21/2
e) 2(x-1)/9=7/4
8x-8=63
8x=71
x=71/8
f) 1/7(99x-23)/99=5/14
(99x-23)/693=5/14 |•7
(99x-23)/99=5/2
198x-46=495
198x=541
x=541/198
g) 15/4(3x-1)/3=5/144
(45x-15)/12=5/144 |•12
45x-15=5/12
45x=5/12 +15
45x=(5+180)/12
45x=185/12
x=185/12 • 1/45
x=37/108

Answer 2

a) 2(x+1/5)=7/5
=8(5x+1)=35=>
=40x+8=35=>
=40x=35-8=>
=40x=27=>x=27/40

b)0,25(x+6/7)=5/7
=1/4(7x-6)/7=>
=5/7(5x+6)/28=>
=5/7 |•7 (7x+6)/4=5=>
=7x+6=20=>
=7x=14=>
=x=2

c)0,5(x+2/9)=0,75
=1/2(9x+2)/9=3/4=>
=(9x+2)/18=3/4=>
=4(9x+2)=54. |:2=>
=2(9x+2)=27=>
=18x+4=27=>
=18x=23=>
=x=23/18


d)3/5(2x-1)/2=6
=3(2x-1)/10=6=>
=6x•3=60=>
=6x=63 |:3
=2x=21=>
=x=21/2


e)2(x-1)/9=7/4
8x-8=63
8x=71
x=71/8


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