Humblecosmas508 Humblecosmas508
  • 15-05-2021
  • Mathematics
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Solve for w. 9w-4/4=5w-6/7+6​

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akbusiness987
akbusiness987 akbusiness987
  • 15-05-2021

Answer:

[tex]w=\frac{1}{16}[/tex]

Step-by-step explanation:

[tex]\frac{9w-4}{4} =\frac{5w-6}{7+6}[/tex]

[tex]9w-1=\frac{5w-6}{13}[/tex]

[tex]9w-1+1=\frac{5w-6}{13}+1[/tex]

[tex]9w=\frac{5w-6}{13}+1[/tex]

13 × 9w = 13 × [tex]\frac{5w-6}{13}+1[/tex]

117w = 5w - 6 + 13

117w = 5w + 7

117w - 5w = 5w - 5w + 7

112w = 7

112w ÷ 112 = 7 ÷ 112

[tex]w=\frac{1}{16}[/tex]

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