Which system of equations has infinitely many solutions?
A
4x+2y=8

4x−2y=8

B
4x−2y=8

−4x+2y=−8
C
4x+2y=8

4x+2y=10

D
4x+2y=8

−4x−2y=−10

Respuesta :

Answer: B.

[tex]4x - 2y = 8\\-4x + 2y = -8[/tex]

Step-by-step explanation:

Let's solve your system by elimination.

4x−2y=8;−2x+2y=6

Add these equations to eliminate y:

   4x-2y=8  

 -2x+2y=6    

  2x=14

Substitute 7 for x in 4x−2y=8:  

(4)(7)−2y=8

−2y+28=8  (Simplify both sides of the equation)  

−2y+28+−28=8+−28  (Add -28 to both sides)

−2y=−20  

−2y/−2=−20/−2  (Divide both sides by -2)  

y=10