ashley7890 ashley7890
  • 02-04-2019
  • Mathematics
contestada

Which point is the solution to the following system of equations?

x2 + y2 = 13
2x - y = 4

(3, 2)
(2, 3)
(-3, -2)
(-2, -3)

Respuesta :

Аноним Аноним
  • 02-04-2019

Answer:

Its the point (3, 2).

Step-by-step explanation:

x^2 + y^2 = 13

2x - y = 4

From  the second equation  y = 2x - 4 so substituting in first equation:

x^2 + (2x - 4)^2 = 13

x^2 + 4x^2 - 16x + 16 = 13

5x^2 - 16x + 3 = 0

(5x - 1 )(x - 3) = 0

x = 0.2, 3.

Substitute x = 3 in the second equation:

2(3) - y = 4

y = 6 - 4 = 2.

Answer Link

Otras preguntas

What was the major purpose of the Truman Doctrine?
explain why the motion of a body which is moving with constant speed in a circular path is said to be accelerated ?
why dog pants during summer use the cocept of evaporation
round to the nearest hundredth 5.6192
round to the nearest hundredth 5.6192
Choose the more precise measurement in the pair.  A .) 6.7 mi or  B.) 6 mi
Your friend is asked to differentiate between evaporation and boiling.what questions could you ask to make him to know the difference between evaporation and bo
What's the other word a weak or lifeless feeling
Which expression is equivalent to 27/125
What's the other word a weak or lifeless feeling