Snehasheha
Snehasheha Snehasheha
  • 17-08-2021
  • Mathematics
contestada

Solve the simultaneous equations. to. 3 significant figures.
3x^2 + y^2 = 20
2x + y =3​

Respuesta :

hermitant
hermitant hermitant
  • 17-08-2021

Answer:

check explanation

Step-by-step explanation:

in eqn 2,

y = 3 - 2x

substitute for it in eqn 1

3x² + y² = 20

3x² + (3 - 2x)² = 20

3x² + 9 - 12x + 4x² = 20

Group like terms;

3x² + 4x² - 12x = 20 -9

7x² - 12x = 11

x(7x - 12) = 11

x = 11,

OR

7x - 12 = 11

7x = 11 + 12

7x = 23

x = 23/7

x = 3.286

To get y, substitute for x in eqn 2

WHEN x = 11,

y = 3 - 2(11)

y = 3 - 22

y = -19

WHEN x = 3.286

y = 3 - 2(3.386)

y = -3.772

Answer Link

Otras preguntas

What is the value of 37.4+59.68
HELP HER WITH MULTIPLY IT AND DIVIDE IT AND COMPARE IT (the number was 27)
is cave a closed syllable
What would most likely happen to plants if they did not have a waxy outer coating?.A. They would store more water in their leaves.. B. They would photosynthesiz
Jeremy weigh a cell phone on a digital scale. write down 113 but forget to record the unit.which unit of measurement is correct grams or kilograms?how?
The human desire to control an area or people is called_. A. instinct B. territoriality C. boundary D. personal property rights
What role(s) does the small intestine play in the digestive system?
sarah and her family just got back from a vacation. They had been traveling for 3 days, driving 8 1/2 hours each day. How many hours altogether were they in t
how to turn a fraction with whole numbers to a decimal form
A pool is being drained at a rate of 120 gallons per minute what is the rate and quarts per hour