christianyaku christianyaku
  • 18-10-2020
  • Mathematics
contestada

Solve for x and y in the equation.
xy=80 and log x - 2 log y =1

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 18-10-2020

9514 1404 393

Answer:

  (x, y) = (40, 2)

Step-by-step explanation:

Taking the antilog of the second equation, we have ...

  x/y^2 = 10

  x = 10y^2

Substituting this into the first equation gives ...

  (10y^2)y = 80

  y^3 = 8 . . . . . . . . divide by 10

  y = 2 . . . . . . . . . . cube root

  x = 10·2^2 = 40

The solution is (x, y) = (40, 2).

Ver imagen sqdancefan
Answer Link

Otras preguntas

The Federal Application for Student Aid (FAFSA) form:
Which number line best shows how to solve −6 − (−8)? A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown
Is hydrogen radioactive?
At a local river there were 48 alligators laying on the riverbank. if 7/8 of the alligators were sleeping how many were awake
The excellent marketing of tourism products locally and international in german
In pea plants, purple flowers are dominant over white flowers. Which of the following crosses would create an offspring population with all white flowers? two
Two solutions are added together and the new solution becomes hot. This tells you that
In parallelogram WXYZ, ∠W and ∠X are adjacent. The measure of ∠X is three times the measure of ∠W. Which equation gives the exact measure of ∠W?
in a few sentences describe a few reasons why teens may not practice sexual abstinence
The Reign of Terror during the French Revolution led to the __________.