Question

Rsolva as equações a seguir:
1) 2x-3=33-x
2) 7-2x=4+x
3) 5t-6=3-4t
4) 9-3x=-5+4x
5) 7x+10=6x-5
6) -3x+8=5x+16
7) x-4+5x=4x+8

Answer 1

1) 2x - 3 = 33 - x

2x + x = 33 + 3

3x = 36

x = 36/3

x = 12

S = {12}

2) 7 - 2x = 4 + x

7 - 4 = x + 2x

3 = 3x

3/3 = x

1 = x

S = {1}

3) 5t - 6 = 3 - 4t

5t + 4t = 3 + 6

9t = 9

t = 9/9

t = 1

S = {1}

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

9 + 5 = 4x + 3x

14 = 7x

14/7 = x

2 = x

S = {2}

5) 7x + 10 = 6x - 5

7x - 6x = - 5 - 10

x = - 15

S = {-15}

6) - 3x + 8 = 5x + 16

- 3 x - 5 x = 16 - 8

- 8x = 8

x = 8/-8

x = -1

S = {-1}

7) x - 4 + 5x = 4x + 8

x + 5x - 4x = 8 + 4

6x - 4x = 12

2x = 12

x = 12/2

x = 6

S = {6}

Answer 2

Resposta:

1) x = 12

2) x = 1

3) t = 1

4) x = 4/7

5) x = - 15

6) x = - 1

7) x = 6

Explicação passo-a-passo:

1) 2x - 3 = 33 - x

2x + x = 33 + 3

3x = 36,     x = 12

2) 7 - 2x = 4 + x

- 2x - x = 4 - 7

-3x = -3,      x  = 1

3) 5t - 6 = 3 - 4t

5t + 4t = 3 + 6

9t = 9,         t = 1

4) 9 - 3x = 5 + 4x

9 - 5 = 4x + 3x

4 = 7x,         x = 4/7

5) 7x + 10 = 6x - 5

7x - 6x = - 5 - 10

x = - 15

6) - 3x + 8 = 5x + 16

- 3x - 5x = 16 -8

-8x = 8 ,       x = - 1

7) x - 4 + 5x = 4x + 8

6x - 4x = 8 + 4

2x = 12,    x= 6