Question

Which of the following equations have infinitely many solutions? 

I.      6(2 x  + 4) = 3(4 x  + 8) 
II.     0.5 (8 x  + 4) = 4 x  + 2 
III.    7 x  + 8 = 7( x  + 8) 
IV.   3 x  + 4 = 7 x  - 2 
V.     2(6 x  + 4) = 4(3 x  + 2)​

Answer 1

Equation I , II and V.

Explanation:

Number II:L

0.5(8x + 4) = 4x + 2 Distributing the 0.5 over the parentheses:

4x + 2 = 4x + 2

The 2 sides of this equation are identical so we can make x any value to fit this identity. That is there are Infinite Solutions.

I and V are also included:

I: 12x + 24 = 12x + 24.

V left side = right side.