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 do you say I want a bowl of soup in spanish
colby wants to set sqaure tiles on the top of a box the top of the box is a rectangle 71/2 inches long and 51/2 inches wide how many 1/2 inch tiles would he nee
Explain the statement that waves cause both constructive and destructive change to the shore line
How do u answer 3(x+2)=x-18
Simplify 2(5x-3)-(2x+4), 24x-12y+40÷4, (2x)(3y)+2(-xy)
how do you simplify fractoins
Suppose x + y = 6 and xy = 4. Find the value of x² y + xy² without solving the equations.
Sacha has 4 quarters in her pocket.she has 6 timés as many quarters in her piggy Bank. Draw a picture to show thenumber of quarters sacha has in her piggy Bank.
How to convert 0.39 into a fraction?
Explain why shorelines are always changing