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

How does a digit in the ten thousands place compare to a digit in the thousands place?
Which patriotic society was established to organize resistance to the taxes? A) Fighters for Freedom B) Colonial Captains C) Sons and Daughters of Libe
What is 350/100 as a decimal and percent?
Which is an effect of short-term exposure to stress?
How did shah Abbas help the safavid empire flourish
Which word in the sentence is a participle? Do not lean on the painted walls. a. painted b. Do c. on d. lean
What inner planet has enough gravity to hold on to all its gases
Compared to "In Trying times," the diction of "Girls Can We Educate We Dads?" is more a. emotional b. abstract c. dejected d. informal
Grant’s policy to win the war was one of?
what is 141,173 rounded to the nearest ten thousand