Question

2. Resolva as seguintes equações:
a) 4x-1=3.(x-1)
b) 3.(x-2) = 2x - 4
c)2.(x-1) = 3x + 4
d) 3.(x-1)- 7 = 15
e) 7.(x-4) = 2x - 3
f) 3. (x - 2) = 4.(3-X)
g) 3.(3x - 1) = 2. (3x + 2)
h) 7.(x-2) = 5.(x+3)
i)3.(2x - 1) = -2.(x+3)
j) 5x-3.(x+2) = 15​

Answer 1

a) 4x-3= 3(x-1)

4x-3= 3x-3

4x-3x-3+3= 0

x=0

b) 3(x-2)= 2x-4

3x-6= 2x-4

3x-2x-6+4= 0

x-2=0

x=2

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

2x-2= 3x+4

2x-3x-2-4= 0

-x-6= 0

-x= 6 ( Multiplica-se por -1)

x= -6

d) 3(x-1)-7= 15

3x-3-7= 15

3x-10= 15

3x-10-15= 0

3x-25= 0

3x= 25

x= 25/3

e) 7(x-4)= 2x-3

7x-28= 2x-3

7x-2x-28+3= 0

5x-25= 0

5x= 25

x= 25/5

x= 5

f) 3(x-2)= 4(3-x)

3x-6= 12-4x

3x+4x-6-12= 0

7x-18= 0

7x= 18

x= 18/7

g) 3(3x-1)= 2(3x+2)

9x-3= 6x+4

9x-6x-3-4= 0

3x-7=0

3x= 7

x= 7/3

h) 7(x-2)= 5(x+3)

7x-14= 5x+15

7x-5x-14-15=0

2x-29= 0

2x= 29

x= 29/2

i) 3(2x-1)= -2(x+3)

6x-3= -2x-6

6x+2x-3+6= 0

8x+3= 0

8x= -3

x= -3/8

j) 5x-3(x+2)= 15

5x-3x-6= 15

2x-6-15=0

2x-21= 0

2x= 21

x= 21/2