Question

RESOLVA AS EQUAÇÕES:
A) x/3 + x/2 = 7+x/3
B) x-2/3 + 2x = 5x/2
C) x-5/3 + 3x-1/2 = 4
D) x-1/5 = x - 2x-1/3

Answer 1

A)
x + x. = 7. + x
_... _............._
3....2.............3

2x + 3x = 21 + x
______..._____
.......6.............3

5x. = 21 + x
__....._____
6.............3

3 (5x) = 6 (21 + x)

15x = 126 + 6x

15x - 6x = 126

9x = 126

x = 126
......___
.........9

x = 14

b)
x - 2. + 2x = 5x
____............___
....3..................2

x - 2 + 6x = 5x
________....__
.........3..............2

x + 6x - 2 = 5x
________....__
........3...............2

7x - 2. = 5x
_____...___
.....3..........2

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

14x - 4 = 15x

14x - 15x = 4

- x = 4..(-1)

x = - 4

c)
x - 5. + 3x - 1. = 4
____....____
...3............2

2x - 10 + 9x - 3 = 4
____________
.............6

2x - 10 + 9x - 3 = 6(4)

2x + 9x - 10 - 3 = 24

10x - 13 = 24

10x = 24 - 13

10x = 11

x = 11
......__
... ...10

D)
x - 1. = x - 2x - 1
___..........._____
...5..................3

x - 1. = 3x - 2x -1
___......_______
...5...............3

3(x - 1) = 5 (3x - 2x - 1)

3x - 3. = 15x - 10x - 5

3x - 3 = 5x - 5

3x - 5x = -5 + 3

- 2x = - 2..(-1)

2x = 2

x = 2
......_
......2

x = 1