alyssagriffin21
alyssagriffin21 alyssagriffin21
  • 08-05-2019
  • Mathematics
contestada

How many solutions does the system have?

{ y = -2x + 4
{ 7y = -14x + 28

Choose 1 answer:

A. Exactly one solution
B. No solutions
C. Infinitely many solutions

Respuesta :

derelisb
derelisb derelisb
  • 08-05-2019

Answer:

{x,y} = {-2,2}

Step-by-step explanation:

Solve equation [2] for the variable  y  

 

  7y = 7x + 28

  y = x + 4

Plug this in for variable  y  in equation [1]

-8x + 4•(x +4) = 24

-4x = 8

Solve equation [1] for the variable  x  

4x = - 8  

x = - 2

By now we know this much :

   x = -2

   y = x+4

Use the  x  value to solve for  y  

   y = (-2)+4 = 2

Solution :

{x,y} = {-2,2}

and this intersects at only one point so your answer is A

Answer Link
4010800
4010800 4010800
  • 21-06-2022

Answer:

c

Step-by-step explanation:

khan

Answer Link

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