Question

PLEASE HELP WITH 18 &19

will give 15 points !!!!

(3r-16)
18. x =
19. X=
(11y - 32)
(6r+7)
y =
20. r =
19.
y =
(8x - 14)
(5y + 16)
(5x + 34)

Answer 1

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18 ) Go...

`(3x - 16) + (6x + 7) = 180`

Collect like terms

`9x - 9 = 180`

Add sides 9

`9x - 9 + 9 = 180 + 9`

`9x = 189`

Divide sides by 9

`(9x)/(9) = (189)/(9) \\`

`x = 21`

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`11y - 32 = 6x + 7`

`11y - 32 = 6(21) + 7`

`11y - 32 = 126 + 7`

`11y - 32 = 133`

Add sides 32

`11y - 32 + 32 = 133 + 32`

`11y = 165`

Divide sides by 11

`(11y)/(11) = (165)/(11) \\`

`y = 15`

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19 ) Go...

`8x - 14 = 5x + 34`

Add sides 14

`8x - 14 + 14 = 5x + 34 + 14 \\`

`8x = 5x + 48`

Subtract sides 5x

`- 5x + 8x = - 5x + 5x + 48`

`3x = 48`

Divide sides by 3

`(3x)/(3) = (48)/(3) \\`

`x = 16`

_________________________________

`(5y + 16) + (8x - 14) = 180`

`5y + 16 + 8(16) - 14 = 180`

`5y + 16 + 128 - 14 = 180`

`5y + 130 = 180`

Subtract sides 130

`5y + 130 - 130 = 180 - 130`

`5y = 50`

Divide sides by 5

`(5y)/(5) = (50)/(5) \\`

`y = 10`

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