Question

For the equation 2(4x + 10) =8×+ k, which value of k will create an equation with infinitely many solutions?A) 24B)20C)8D)4

Answer 1

$2(4x+10)=8x+k$

An equation with infinitely many solutions is a function which has after try to find the solution an result as (0 = 0)

Then, for the given equation:

1. Remove parenthesis by multiplying 2 by the two term in parenthesis:

$8x+20=8x+k$

2. The value that makes the equation have many solutions is 20 because:

$\begin{gathered} 8x+20=8x+20 \\ 8x-8x=20-20 \\ 0=0 \end{gathered}$Answer B)20