Question

con comprobación porfis !​

Answer 1

Explicación paso a paso:

a)

4(x - 3) - 5(x + 2) = 7(3x - 1) +29

4x - 12 - 5x - 10 = 21x - 7 + 29

-x -22 = 21x + 22

-44 = 22x

-2 = x

Comprobación:

4(x - 3) - 5(x + 2) = 7(3x - 1) + 29

4(-2 - 3) - 5(-2 + 2) = 7{3(-2) - 1} + 29

4(-5) - 5(0) = 7(-6 - 1) + 29

-20 - 0 = 7(-7) + 29

-20 = -49 + 29

-20 = -20

b)

6x + 2(1 + x) = 3x - 8 + x - 2

6x + 2 + 2x = 4x - 10

8x + 2 = 4x - 10

4x = -12

x = -3

Comprobación:

6x + 2(1 + x) = 3x - 8 + x - 2

6(-3) + 2{1 + (-3)} = 3(-3) - 8 + (-3) - 2

-18 + 2(-2) = -9 - 8 - 3 - 2

-18 + (-4) = -22

-18 - 4 = -22

-22 = -22

c)

3(4 + 12x) - 6(2x + 3) = 36 + 2(3x + 2)

12 + 36x - 12x - 18 = 36 + 6x + 4

24x - 6 = 40 + 6x

18x = 46

x = 46/18

x = 23/9

Comprobación:

3(4 + 12x) - 6(2x + 3) = 36 + 2(3x + 2)

3{4 + 12(23/9)} - 6{2(23/9) + 3} = 36 + 2{3(23/9) + 2}

3(4 + 276/9) - 6(46/9 + 3) = 36 + 2(69/9 + 2)

3(312/9) - 6(73/9) = 36 + 2(87/9)

936/9 - 438/9 = 36 + 174/9

498/9 = 498/9