Question

Resolva as equações.?
a) 3,5x + 2 = 2,9x − 1
b) 2(x − 5) + 5x = 2 + 3(4 − 3x)
c) 3 − 3(x − 2) = 2x − (x − 4)
d) 5(z + 1) − 2(3z + 1) = 4(5 − z)
e) 2(y − 4) = 2 − 3(y − 5) + 10(1 − 3y)
f) 4a−2\3=5(a+3)\2

Answer 1

a)3,5x+2=2,9x-1
3,5x-2,9x=-1-2
0,6x=-3
x=-3/0,6
x=5

b)2(x-5)+5x=2+3(4-3x)
2x-10+5x=2+12-3x
7x-10=14-3x
7x+3x=14+10
10x=24
x=24/10
x=2,4

c)3-3(x-2)=2x-(x-4)
3-3x+6=2x-x+4
-3x+9=x+4
-3x-x=4-9
-4x=-5
Multiplicamos por (-1)
4x=5
x=5/4
x=1,25

d)5(z+1)-2(3z+1)=4(5-z)
5z+5-6z-2=20-4z
-z+3=20-4z
4z-z=20-3
3z=17
z=17/3
z=5,667

e)2(y-4)=2-3(y-5)+10(1-3y)
2y-8=2-3y+15+10-30y
2y-8=27-33y
2y+33y=27+8
35y=35
y=35/35
y=1

f)4a -2/3=5(a+3)/2
4a-2/3=5/2a+15/2
Tiramos o mmc
24/6a-4/6=15/6a+45/6
Excluímos os denominadores
24a-4=15a+45
24a-15a=45+4
9a=49
a=49/9
a=5,4445