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

Otras preguntas

the incas cities are called?
A parallelogram with all angles congruent (90°)
which statement best relates to how the structure of a lipids influences the lipids function? a. The ends of the lipids are attacked to each other b.a lipid is
A symbol represents both itself and something else.true or false
Convert 440,000 centimeters to kilometers.
How do text features aid understanding of expository text
How should the headings of a résumé be formatted so that they are clear and easy to find?
Solve for n in the literal equation a(n−4)+3=bn.
Which of the following is one of the four major causes of crane accidents? a. contact with power lines b. fires c. floods d. trenches suspend assessment
explain how you can identify a non proportional relationship?