Find all values of s to make true 9(5s-4)=45s-36?

Question

can you detail how to get answer?

Answer 1

9( 5s - 4 ) = 45s - 36

Distribute:

9·5s - 9·4 = 45s - 36

45s - 36 = 45s - 36

(You could either notice right here that both sides are equal or continue on to get...)

45s - 36 + 36 = 45s - 36 + 36

45s = 45s

45s - 45s = 45s - 45s

0 = 0

As you can see, the variable disappears. This means that the variable "doesn't matter". What I mean by that is that no matter what value you put in for "s", the final equation (0=0) is always true. Zero is always equal to zero.

Thus, the answer is "all real numbers". Any number that you put in for s will make the equality true, since both sides are the same. You could observe this as soon as you see that you have the same thing on both sides (as pointed out earlier).

(Note: If you get a contradiction such as 2=0 at the end, then you have NO solutions, because the variable doesn't appear anywhere and 2 is never equal to zero.)

Answer 2

9(5s-4)=45s-36

If S=0

9(5*0-4)=45(0)-36

9(0-4)=0-36

-36=-36=0

So S=0 is true.

In this way we can check all possibilities for S.

i.e. S=1,2,3,4..........