Question

resolvam estas equaçoes:
e) 2-3(2m+1)=7m
f) x/5 +2= 3(x-9) +1
g) 3m/2 + 1 = 8(m - 8)
h) 1400 - 3(u + 182) = -82

Answer 1

e)2-6m-3=7m
6m-7m=-2+3
-1m=1 (-1 )
1m=1
m=1÷1
m=1

f) x÷5+2=3 (x-9)+1
x/5+10/5=15 (5x-45)/5+5/5
x/5=-10/5+15 (5x-45)/5+5/5
x/5=-10/5+(75x-675)/5+5/5
x-75x=10-675+5
-74x=-660
x=660/74 simplificamos 660 por 2 e 74 também 330/37

g) 3m/2 + 1 = 8(m - 8)
3m/2+2/2=16(2m-16)/2
3m+2=32m+256
3m-32m=-2+256
-29m=254
m=-254/29

h) 1400 - 3(u + 182) = -82
1400-3u-546=-82
-3u=-82+546-1400
-3u=-936
u=-936/3
u=-312

Answer 2

e) $2-3(2m+1)=7m$

$2-6m-3=7m$

$13m=-1$

$m=-\dfrac{1}{13}$

f) $\dfrac{x}{5}+2=3(x-9)+1$

$x+10=15x-135+5$

$14x=140$

$x=10$

g) $\dfrac{3m}{2}+1=8(m-8)$

$3m+2=16m-128$

$13m=130$

$m=10$

h) $1400-3(u+182)=-82$

$1400-3u-546=-82$

$3u=854+82$

$3u=936$

$u=312$