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18 ) Go...
[tex](3x - 16) + (6x + 7) = 180[/tex]
Collect like terms
[tex]9x - 9 = 180[/tex]
Add sides 9
[tex]9x - 9 + 9 = 180 + 9[/tex]
[tex]9x = 189[/tex]
Divide sides by 9
[tex] \frac{9x}{9} = \frac{189}{9} \\ [/tex]
[tex]x = 21[/tex]
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[tex]11y - 32 = 6x + 7[/tex]
[tex]11y - 32 = 6(21) + 7[/tex]
[tex]11y - 32 = 126 + 7[/tex]
[tex]11y - 32 = 133[/tex]
Add sides 32
[tex]11y - 32 + 32 = 133 + 32[/tex]
[tex]11y = 165[/tex]
Divide sides by 11
[tex] \frac{11y}{11} = \frac{165}{11} \\ [/tex]
[tex]y = 15[/tex]
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19 ) Go...
[tex]8x - 14 = 5x + 34[/tex]
Add sides 14
[tex]8x - 14 + 14 = 5x + 34 + 14 \\ [/tex]
[tex]8x = 5x + 48[/tex]
Subtract sides 5x
[tex] - 5x + 8x = - 5x + 5x + 48[/tex]
[tex]3x = 48[/tex]
Divide sides by 3
[tex] \frac{3x}{3} = \frac{48}{3} \\ [/tex]
[tex]x = 16[/tex]
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[tex](5y + 16) + (8x - 14) = 180[/tex]
[tex]5y + 16 + 8(16) - 14 = 180[/tex]
[tex]5y + 16 + 128 - 14 = 180[/tex]
[tex]5y + 130 = 180[/tex]
Subtract sides 130
[tex]5y + 130 - 130 = 180 - 130[/tex]
[tex]5y = 50[/tex]
Divide sides by 5
[tex] \frac{5y}{5} = \frac{50}{5} \\ [/tex]
[tex]y = 10[/tex]
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