saraaso162
saraaso162 saraaso162
  • 02-04-2021
  • Mathematics
contestada

А + B = 8, A*C = 21, B-D=5
С*D= 9
find
А,В,С,D​

Respuesta :

Averysmartperson
Averysmartperson Averysmartperson
  • 02-04-2021

Answer:

A = 2.1

B = 5.9

C = 10

D = 0.9

Step-by-step explanation:

This is a long one

A + B = 8

my plan is to substitute B

B - D = 5

B = 5 + D

Now substitute D

C*D=9

D = 9/C

Now substitute C

A*C = 21

C = 21/A

Back to the D equation

D = 9/C

D = 9/(21/A) = 9A/21 = 3A/7

Back to B equation

B = 5 + D

B = 5 + 3A/7

Back to A equation

A + B = 8

A + (5 + 3A/7) = 8

7/7A + 3/7A + 5 = 10A/7 + 5 = 8

10A/7 = 3

10A = 21

A = 21/10 = 2.1

The rest should be simple

B = 5 + 3A/7

B = 5 + 3(2.1)/7 = 5.9

C = 21/A

C = 21/2.1 = 10

D = 9/C

D = 9/10 = 0.9

Answer Link

Otras preguntas

Which one is greater 8.3 or 8.03
In addition to carbon dioxide what is one of the products of respiration A sugar B oxygen C chlorophyll D energy
0.327 rounded to the nearest hundredths
what is an analogy for monarchy
If the length of one side of a square is 12.0 m, what is the perimeter of the square?
The Aryan migration began its spread into India through the Indus River Valley mainly because that area
Using the scientific method, a(n) _____ must be tested as the focus of any experiment.
If 6000 lb/day = t\wk what is the anwser
What effect do you think the Pyrenees, Alps, & Carpathian Mountains had on life in medieval Europe?
kenneth has 22 math problems to do do for homework. he has 12 problems done. how many more problems does have left? if he completes 1 problem every minute, how