jordynnwinbush
jordynnwinbush jordynnwinbush
  • 02-10-2018
  • Mathematics
contestada

how many solutions are in 4(x-5)=3x+7

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 02-10-2018
This is a linear equation so it has only one solution.

[tex]4(x - 5) = 3x + 7[/tex]
Expand bracket to get

[tex]4x-20=3x+7 [/tex]
Group like terms to obtain,

[tex]4x - 3x = 7 + 20[/tex]
[tex]x = 27[/tex]
This is the only solution
Answer Link
jimrgrant1 jimrgrant1
  • 02-10-2018

1 solution

This is an equation in only 1 variable (x ) thus will have only one solution

Solving to illustrate

4(x - 5) = 3x + 7 ( distribute left side )

4x - 20 = 3x + 7 ( subtract 3x from both sides )

4x - 3x - 20 = 7

x - 20 = 7 ( add 20 to both sides )

x = 7 + 20 = 27 ( one solution )



Answer Link

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