sajdshjad7566 sajdshjad7566
  • 15-09-2020
  • Mathematics
contestada

The difference of a number and 9 is the same as the sum of 3 times the number and 12

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 20-09-2020

Answer:

[tex]x = -10.5[/tex]

Step-by-step explanation:

Represent the number as x

Difference of the number and x:

[tex]x - 9[/tex] --- (1)

Sum of 3 times the number and 12:

[tex]3 * x + 12\\[/tex] ---- (2)

Equate 1 and 2

[tex]x - 9 = 3 * x + 12[/tex]

[tex]x - 9 = 3x + 12[/tex]

Collect Like Terms

[tex]x - 3x = 9 + 12[/tex]

[tex]-2x = 21[/tex]

Make x the subject

[tex]x = -\frac{21}{2}[/tex]

[tex]x = -10.5[/tex]

Answer Link

Otras preguntas

How does alliteration affect the epic poem Beowulf?
Of the following sources, where might you expect to find biased information? A. Internet search engine B. Congressional record C. Library
A liquid has a density of 1.27 g/mL. What is the mass of 20.0 mL of this liquid? a. 0.0635 g b. 15.7 g c. 21.3 g d. 25.4 g
Why are the fields of science and mathematics so interdependent?
Where would you expect to find the most US factories at the turn of the century? Why?
Which of the following is not a central theme of biology?
During the French and Indian War, Georgia was MOST vulnerable to
What is the radius of a circle that has a center at (-5,3) and passes through the point (-1,3)
A liquid has a density of 1.27 g/mL. What is the mass of 20.0 mL of this liquid? a. 0.0635 g b. 15.7 g c. 21.3 g d. 25.4 g
What are the major types of American Indian literature from this era? Check all that apply. songs picture books origin myths trickster tales plays tribal docume