kimcxstro01
kimcxstro01 kimcxstro01
  • 08-09-2020
  • Mathematics
contestada

Find the number a for which x = 3 is a solution of the given equation.

x+ 7a = 47+ ax - 7a

Respuesta :

cvinta cvinta
  • 08-09-2020

Answer:

a=4

Step-by-step explanation:

x+ 7a = 47+ ax - 7a

Substitute x=3 in the equation

3+7a=47+3a-7a

Combine like terms

7a+7a-3a=47-3=44

11a=44

a=44/11=4

Answer Link
CSMedrano
CSMedrano CSMedrano
  • 08-09-2020

Answer:

a=4

Step-by-step explanation:

[tex]x+7a=47+ax-7a\\\\x+7a-7a=47+ax-7a-7a\\\\x=47+ax-14a\\\\x-47=47+ax-14a-47\\\\x-47=ax-14a\\\\x-47=a(x-14)\\\\(x-47)*\frac{1}{x-14} =a(x-14)*\frac{1}{x-14} \\\\\frac{x-47}{x-14} =a\\\\\frac{(3)-47}{(3)-14} =a\\\\\frac{-44}{-11}=a\\\\a=4[/tex]

Answer Link

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