How many solutions does the system have?

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

choose 1

a. exactly one solution
b. no solutions
c. infinitely many solutions

{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

what do u need to know

step-by-step explanation: