Question

Will medal and fan!!
How many solutions does the equation 4s + 8 = 3 + 5 + 4s have?


Two
None
One
Infinitely many

Answer 1

Have you tried solving it?

Answer 2

To start, add 5 and 3 on the right side.
What do you get?

Answer 3

we know that NONE is wrong, so that one can be eliminated

Answer 4

if u add both sides u get 12=12, right?

Answer 5

If you end up with no variables and a false statement, there are no solutions.
If you end up with no variables and a true statement, there are infinitely many solutions.

Answer 6

\(4s + 8 = \color{red}{3 + 5} + 4s\)

Add 3 and 5 together on the right side to get

\(4s + 8 = \color{red}{8} + 4s\)

Now subtract 8 from both sides:

\(4s = 4s\)

Divide both sides by 4s:

\(1 = 1\)

This is a true statement. That means there is an infinite number of solutions.
In other words, every real number is a solution of this equation.

Answer 7

@Houdini_Dragon
\(4s + 8 = 4s + 8 \ne 12\)

Answer 8

OOHH-k