lily5090 lily5090
  • 03-08-2020
  • Mathematics
contestada

Hi how do I solve this simultaneous equation

Hi how do I solve this simultaneous equation class=

Respuesta :

MathPhys
MathPhys MathPhys
  • 03-08-2020

Answer:

M (-3, -5/2)

N (3, -1)

Step-by-step explanation:

Solve the first equation for x.

4y = x − 7

x = 4y + 7

Substitute into the second equation.

x² + xy = 4 + 2y²

(4y + 7)² + (4y + 7)y = 4 + 2y²

Simplify.

16y² + 56y + 49 + 4y² + 7y = 4 + 2y²

18y² + 63y + 45 = 0

2y² + 7y + 5 = 0

Factor.

(y + 1) (2y + 5) = 0

y = -1 or -5/2

Plug back into the first equation to find x.

x = 4(-1) + 7 = 3

x = 4(-5/2) + 7 = -3

M (-3, -5/2)

N (3, -1)

Answer Link

Otras preguntas

why does tap water or pool water typically test positive for the presence of chlorine
in a fluid-filled container why is the pressure greater at the base of the container
the volume of the cube is 512in3 what is the side length
Jimmy’s age is one year less than the sum of the ages of his siblings Serena and Tyler. Which equation represents Jimmy’s age? A. look at the picturex represe
How many days are in a solar year?
An example of a primary source is: A. an encyclopedia article B. an email C. a magazine article D. a biography
do judiasms believe in the after life
in this right rectangular each small cube measures 1 unit on each side what is the volume of the prism please help practice question for parcc test
The total amount of financial assets, minus any debts, is referred to as?
Which best describes the author’s viewpoint toward the actual Rosetta Stone in "The Rosetta Stone”? It is a fascinating artifact that can help people better und