Answers by JKismyhusbandbae:
A. 0.5x + 2 = 0.8x - 0.3x + 2
0.5x+2=0.8x−0.3x+2
0.5x+2=0.8x+−0.3x+2
0.5x+2=(0.8x+−0.3x)+(2)(Combine Like Terms)
0.5x+2=0.5x+2
0.5x+2=0.5x+2
0.5x+2−0.5x=0.5x+2−0.5x
2=2
2−2=2−2
0=0
All solutions are real
B. 7(y−8)=7y+42
[tex]\mathrm{Expand\:}7\left(y-8\right):\quad 7y-56\\7y-56=7y+42\\7y-56+56=7y+42+56\\7y=7y+98\\7y-7y=7y+98-7y\\0=98\\The\:sides\:are\:not\:equal\\No\:Solution[/tex]
C. A equation that has one solution is: 10 - 10 | -8k + 4 | = 10
[tex]10-10\left|-8k+4\right|-10=10-10\\-10\left|-8k+4\right|=0\\\frac{-10\left|-8k+4\right|}{-10}=\frac{0}{-10}\\\left|-8k+4\right|=0\\-8k+4=0\quad :\quad k=\frac{1}{2}[/tex]
