Question

please help! how many solutions does this have!
either 1, none, or infinite. thanks in advance, will give best answer to person who explains best!
a + 5 = 1/5 (15 + 5a) <--- Equation
1.) 1
2.) infinite
3.) none

Answer 1

This would have 0 solutions. On the right hand side, you have

\[\frac{ 1 }{ 5 }\left( 15+5a \right)\] which simplifies to
\[3+a\]

On the left hand side, you have \[a+5\].

Equating both sides of the equation you would have,
\[3+a = a+5\]

Bringing a over to the left hand side yields
\[3+a-a=5\]
Hence, the variable \[a\] gets cancelled out, and we say the equation has no solutions.

Answer 2

thank you so much! thanks for showing work too, now I can solve them by myself!

Answer 3

No problem at all. If you like an answer, please hit the Best Response button and close the question. :)