Question

Resolva as equações de 1° grau abaixo:

a) 2x – 5 = x + 1
b)2x + 3 = x + 4

c) 5x + 7 = 4x + 10
d)4x – 10 = 2x + 2

e) 4x – 7 = 8x – 2
f) 2x + 1 = 4x – 7

g) 5x -3 + x = 2x + 9
h) x + 2x + 3 – 5x = 4x – 9​

Answer 1

Resposta:

a)

$2x-5=x+1\\2x-x=1+5\\x=6$

b)

$2x+3=x+4\\2x-x=4-3\\x=1$

c)

$5x+7=4x+10\\5x-4x=10-7\\x=3$

d)

$4x-10=2x+2\\4x-2x=2+10\\2x=12\\x=6$

e)

$4x-7=8x-2\\4x-8x=7-2\\-4x=5\\x=-\frac{5}{4}$

f)

$2x+1=4x-7\\2x-4x=-7-1\\-2x=-8\\x=4$

g)

$5x-3+x=2x+9\\5x+x-2x=9+3\\4x=12\\x=3$

h)

$x+2x+3-5x=4x-9\\x+2x-5x-4x=-9-3\\-6x=-12\\x=2$

Answer 2

a) 2x – 5 = x + 1

2x - 5 - x = 1

x - 5 = 1

x = 1 + 5

$\red {x = 6}$

.

b)2x + 3 = x + 4

2x + 3 - x = 4

x + 3 = 4

x = 4 - 3

$\red {x = 1 }$

.

c) 5x + 7 = 4x + 10

5x + 7 - 4x = 10

x + 7 = 10

x = 10 - 7

$\red {x = 3}$

.

d)4x – 10 = 2x + 2

4x - 10 - 2x = 2

2x - 10 = 2

2x = 2 + 10

2x = 12

x = 12/2

$\red {x = 6}$

.

e) 4x – 7 = 8x – 2

4x - 7 - 8x = - 2

-4x - 7 = - 2

-4x = - 2 + 7

-4x = 5

x = 5/-4

$\red {x =- 5/4}$

.

f) 2x + 1 = 4x – 7

2x + 1 - 4x = - 7

-2x + 1 = - 7

-2x = - 7 + - 1

-2x = - 8

x = -8/-2

$\red {x = 4}$

.

g) 5x -3 + x = 2x + 9

6x - 3 = 2x + 9

6x - 3 - 2x = 9

4x - 3 = 9

4x = 9 + 3

4x = 12

x = 12/4

$\red {x = 3}$

.

h) x + 2x + 3 – 5x = 4x – 9

3x + 3 - 5x = 4x - 9

-2x + 3 = 4x - 9

-2x + 3 - 4x = - 9

-6x + 3 = - 9

-6x = - 9 - 3

-6x = - 12

x = - 12/- 6

$\red {x = 2}$