Question

Resolva as seguintes equações, sendo U=Q:

a)2X+3X+9=8(6-X)

b)4(X+10)-2(X-5)=0

c)3(2X+3)-4(X-1)=3

d)7(X-1)-2(X-5)=X-5

e)2(3-X)=3(X-4)+15

f)3(5-X)-3(1-2X)=42


OBS:Preciso do cálculo

Answer 1

a)
2x + 3x + 9 = 8 * (6 - x)
5x + 9 = 48 - 8x
5x + 8x = 48 - 9
13x = 39
x = 39 / 13
x = 3

b)
4(x + 10) - 2(x - 5) = 0
4x + 40 - 2x + 10 = 0
2x + 50 = 0
2x = -50
x = -50 / 2
x = -25

c)
3(2x + 3) - 4(x - 1) = 3
6x + 9 - 4x + 4 = 3
2x + 13 = 3
2x = 3 - 13
2x = -10
x = -10 / 2
x = -5

d)
7(x - 1) - 2(x - 5) = x - 5
7x - 7 - 2x + 10 = x - 5
5x + 3 = x - 5
5x - x = -5 - 3
4x = -8
x = -8 / 4
x = -2

e)
2(3 - x) = 3(x - 4) + 15
6 - 2x = 3x - 12 + 15
6 - 2x = 3x + 3
-2x - 3x = 3 - 6
-5x = -3
x = 3/5
x = 0,6

f)
3(5 - x) - 3(1 - 2x) = 42
15 - 3x - 3 + 6x = 42
3x + 12 = 42
3x = 42 - 12
3x = 30
x = 30 / 3
x = 10