Question

Determine o valor de $x$ :

a) 9x - 3 = 24
b) 8y - 4 = 12
c) 10t + 2 = 12
d) 11 - 3y = 2
e) 3x = -9 - 3x
f) 9x + 5 = 4x
g) 40 = -6x + 32
h) 20x - 13 = 20 + 9x
i) 9x - 33 = 19x - 27
j) 7x = 14
k) 5x = 20
l) 100x = 10000
m) 9x = 243
n) 13x = 169
o) 6x = 36
p) 15x = 225
q) 11x = 121
r) 10x = 400
s) 8x = 640
t) 32x = 1024
u) 28x = 784
v) 25x = 625

Answer 1

a) 9x - 3 = 24
    9x = 3 + 24
    x = 27/9
    x = 3

b) 8y - 4 = 12
    8y = 12 + 4
    8y = 16
     y = 16/2
   y = 2

c) 10t + 2 = 12
    10t = 12 - 2
    10t = 10
    t = 10/10
    t = 1

d) 11 - 3y = 2
    -3y = 2 - 11
   -3y = -9
      y = -9/-3
      y = 3

e) 3x = -9 - 3x
    3x + 3x = -9
    6x = -9
    x = -9/6
    x = -3/2

f) 9x + 5 = 4x
   9x - 4x = -5
    -5x = -5
     x = 1
g) 40 = -6x + 32
    6x = 32 - 40
    6x = -8
    x = -8/6
    x = -4/3

h) 20x - 13 = 20 + 9x
    20x - 9x = 20 + 13
    11x = 33
    x = 33/11 = 3

i) 9x - 33 = 19x - 27
   9x - 19x = -27 + 33
   -10x = 6
   x = -10/6 = -5/3

j) 7x = 14
    x = 14/2 = 7

k) 5x = 20
    x = 20/5 = 4

l) 100x = 10000
    x = 10000/100 = 100

m) 9x = 243
     x = 243/9 = 27

n) 13x = 169
     x = 169/13 = 13

o) 6x = 36
     x = 36/6 = 6
  
p) 15x = 225
     x = 225/15 = 15

q) 11x = 121
     x = 121/11 = 11

r) 10x = 400
    x = 400/10 = 40

s) 8x = 640
     x = 640/8 = 80

t) 32x = 1024
    x = 1024/32 = 32

u) 28x = 784
    x = 784/28 = 28

v) 25x = 625
    x = 625/25 = 25