Question

Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions. #4 6x + 4x – 5 = 24 + 9x #5 25 + 4x = x + 3x + 7 #6 4x + 8 = 4(x + 2)

Answer 1

Answer:

#4

$6x+4x-5=24+9x\\ 6x+4x-9x=5+24\\ 19x=29\ \ |:19\\ x=\frac{29}{19}$

one solution

#5

$25+4x=x+3x+7\\ 4x-x-3x=7-25\\ 0x=-18\\ 0=-18$

no solutions

#6

$4x+8=4(x+2)\\ 4x+8=4x+8\\ 4x-4x=8-8\\ 0x=0\\ 0=0$

infinite number of solutions