Question

6.

5.
(12-29)
b
(8x - 17)
+ 1)
(5x + 1999
Converse
Converse:
8.
7.
(4x - 18)
(6x + 5)
(&r -37)
Converse:
Converse:
10.
9.
a
(136 - 2)
6
(23r+1)
(4-5)
(27x - 19)

Answer 1

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5 ) Go...

`8x - 17 = 5x + 19`

Add sides 17

`8x - 17 + 17 = 5x + 19 + 17 \\`

`8x = 5x + 36`

Subtract sides 5x

`- 5x + 8x = - 5x + 5x + 36`

`3x = 36`

Divide sides by 3

`(3x)/(3) = (36)/(3) \\`

`x = 12`

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6 ) Go...

`(12x - 29) + (4x + 1) = 180`

Collect like terms

`16x - 28 = 180`

Add sides 28

`16x - 28 + 28 = 180 + 28`

`16x = 208`

Divide sides by 16

`(16x)/(16) = (208)/(16) \\`

`x = 13`

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7 ) Go...

`6x + 5 = 8x - 37`

`8x - 37 = 6x + 5`

Add sides 37

`8x - 37 + 37 = 6x + 5 + 37`

`8x = 6x + 42`

Subtract sides 6x

`- 6x + 8x = - 6x + 6x + 42`

`2x = 42`

Divide sides by 2

`(2x)/(2) = (42)/(2) \\`

`x = 21`

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8 ) Go...

`4x - 18 = 90`

Add sides 18

`4x - 18 + 18 = 90 + 18`

`4x = 108`

Divide sides by 4

`(4x)/(4) = (108)/(4) \\`

`x = 27`

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9 ) Go...

`23x + 1 = 27x - 19`

`27x - 19 = 23x + 1`

Add sides 19

`27x - 19 + 19 = 23x + 1 + 19 \\`

`27x = 23x + 20`

Subtract sides 23x

`- 23x + 27x = - 23x + 23x + 20 \\`

`4x = 20`

Divide sides by 4

`(4x)/(4) = (20)/(4) \\`

`x = 5`

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10 ) Go...

`(13x - 2) + (4x - 5) = 180`

Collect like terms

`17x - 7 = 180`

Add sides 7

`17x - 7 + 7 = 180 + 7`

`17x = 187`

Divide sides by 17

`(17x)/(17) = (187)/(17) \\`

`x = 11`

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