How many solutions can be found for the linear equation? 6(x + 2) 2 = 12x 4 + 6 A) no solution Eliminate B) one solution C) two solutions D) infinitely many solutions

Respuesta :

I am pretty sure there is only one solution because when I solve it I got 8.

Answer:

Option D - Infinitely many solutions

Step-by-step explanation:

Given : Linear equation [tex]\frac{6(x+2)}{2}=\frac{12x}{4}+6[/tex]

To find : How many solutions can be found for the linear equation?

Solution :

Linear equation [tex]\frac{6(x+2)}{2}=\frac{12x}{4}+6[/tex]

Solve the linear equation,

[tex]3(x+2)=3x+6[/tex]

[tex]3x+6=3x+6[/tex]

[tex]0=0[/tex]

Which means the equation has infinitely many solutions.

Therefore, Option D is correct.