Respuesta :
To know if a expression have infinite solution we replace x for the same values in bot sides so I will replace x=0 in all option so:
a)
[tex]\begin{gathered} (0-\frac{3}{7})=\frac{2}{3}(\frac{3}{2}(0)-\frac{9}{14}) \\ -\frac{3}{7}=-\frac{18}{42} \\ -\frac{3}{7}=-\frac{3}{7} \end{gathered}[/tex]So there are infinit solutions.
b)
[tex]\begin{gathered} 8(0+2)=5(0)-14 \\ 16=-14 \end{gathered}[/tex]so this do NOT have infinite solutions.
c)
[tex]\begin{gathered} 12.3(0)-18=3(-6+4.1(0)) \\ -18=-18 \end{gathered}[/tex]SO it has infinite solutions
d)
[tex]\begin{gathered} \frac{1}{2}(6(0)+10)=7(\frac{3}{7}(0)-2) \\ 5=-14 \end{gathered}[/tex]So this do NOT have infinit solutions
e)
[tex]\begin{gathered} 4.2(0)-3.5=2.1(5(0)+8) \\ -3.5=18.8 \end{gathered}[/tex]SO it do NOT have infinite solutions
So A) and C) have infinite solutions
