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

Answer Link

Otras preguntas

By what fraction name for 1 must 2/3 be multiplied to form a fraction with a denominator of 15
your heart pumps about 5 quarts of blood through its chamber every 60 seconds. a swimming pool, holds 65,000 gallons of water. this represents the amount of blo
The product of 3 consecutive prime numbers is 2431. What is their sum?
What is the state of matter of carbon?
select the first five turns in the arithmetic sequence a n=4n, starting with n=1.
what is the inverse of f (×)=5×^3
What is the scientific definition of energy? A. the ability to use the stored potential of an object B. the ability to use the change in direction of an object
Challenge: When a can of soup is half full, it weighs 5 kg. When it is 1 third full, it ways 4 kg. What is the weight of the full can?
please help on my question
Which of the following would be an example of an archetypical theme? A.The arctic wilderness is endangered. B.Robots may replace human workers. C.Victorian w