Question

Match each equation with its solution set. 2(4 - 4x) = 4- 8x 8(x+4) = 8x + 32 2(4 -4x) = 8x + 4 8(x + 4) = 8x + 4 A. all real numbers B. No solution C. 1/4 D. 4

Answer 1

1. Given the equation:

$2\left(4-4x\right)=4-8x$

to solve for x:

$\begin{gathered} 8-8x=4-8x \\ 8=4 \end{gathered}$

b. no solution

2. Given the equation:

$8\left(x+4\right)=8x+32$

to solve for x:

$\begin{gathered} 8x+32=8x+32 \\ 8x-8x=32-32 \\ 0=0 \end{gathered}$

a. all real numbers

3. Given the equation:

$2\left(4-4x\right)=8x+4$

to solve for x:

$\begin{gathered} 8-8x=8x+4 \\ 8-4=8x+8x \\ 4=16x \\ x=\frac{1}{4} \end{gathered}$

c. 1/4

4. Given the equation:

$8\left(x+4\right)=8x+4$

to solve for x:

$\begin{gathered} 8x+32=8x+4 \\ 32=4 \end{gathered}$

b. no solution