rachelbensley
rachelbensley rachelbensley
  • 10-02-2019
  • Mathematics
contestada

Given that 3(x-c)=2x+5 where c is an integer, shoe that x cannot be a multiple of 6

Respuesta :

calculista
calculista calculista
  • 19-02-2019

Answer:

The explanation in the procedure

Step-by-step explanation:

we have

[tex]3(x-c)=2x+5[/tex]

solve for c

[tex]3x-3c=2x+5[/tex]

[tex]3c=3x-2x-5[/tex]

[tex]3c=x-5[/tex]

[tex]c=(x-5)/3[/tex]

For [tex]x=6[/tex] -----> Find the value of c

[tex]c=(6-5)/3=1/3[/tex] ------> is not an integer

therefore

x cannot be a multiple of 6

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