XOXGRENADEXOX4584 XOXGRENADEXOX4584
  • 25-02-2022
  • Mathematics
contestada

The sum of one third of a number and five is equal to six less than the number

Respuesta :

Aisin
Aisin Aisin
  • 28-02-2022

Call the number : x

(1/3)x + 5 = x-6

=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6

=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.

Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2

33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)

Answer Link

Otras preguntas

Which of the following is a compound sentence?
Littoral zones are more likely to contain vegetation than riparian zones
Why do element whitin a group have similar chemical properties?
what is the sum of two consecutive odd numbers is 44 what is the greater of the two numbers
who was the first president of the somaia?
Referencing the product below, what is one serving size in cups? Brown rice: 20 cups of rice per container Servings per container: 40 A. 1/2 CUP B. 2 CUPS C.
Which of the following countries did Japan not invade
The _______ Act gave Parliament the right to make any laws they wished to regulate the colonies.
Nitrogen is inert at room temperature whereas white phosphorous can burst into flame. Explain
The Danube River is an important transportation corridor because it A) connects four major European cities. B) contains many natural resources. C) attracts ma