SOLUTION: Is -1 a solution of 4square -1=4y + 3 ? I have trouble working these I do understand you have to do to the same side as you do to the other. please understand I am a 40 year old

Algebra ->  Expressions -> SOLUTION: Is -1 a solution of 4square -1=4y + 3 ? I have trouble working these I do understand you have to do to the same side as you do to the other. please understand I am a 40 year old      Log On


   

Question 181299This question is from textbook Beginning Algebra with applications
: Is -1 a solution of 4square -1=4y + 3 ?
I have trouble working these I do understand you have to do to the same side as you do to the other. please understand I am a 40 year old going back to school and never had algebra in high school at all. If I had only know I would have paid alot more attention in school and taken college bound courses.
thanks for your help and God Bless This question is from textbook Beginning Algebra with applications

Found 2 solutions by Mathtut, solver91311:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
well lets hope I do the equation the way it is suppose to be
:
your just plugging in the value of -1 into the variable y and checking to see if this makes a true or false statement
:
4%5E2-1=4y%2B3
:
16-1=4%28-1%29%2B3
:
15=-4%2B3
:
15%3C%3E-1 since 15 does not equal -1.....-1 is NOT a solution. If the equation is different that this email me the correct equation..thanks Mathtut

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Do you mean:

?

If so, then to determine if a value is a solution to an equation, you simply substitute that value for the variable and do the arithmetic to determine if you have a true statement or not, thus:

is clearly a false statement.

(Unless you are talking about Financial System bailouts and such).

Substituting -1 for the variable y does not result in a true statement, therefore -1 is not a solution to the equation.

Just for fun, let's see what the solution set does contain:

.

Now add -3 to both sides:

.

Now multiply both sides by :

.

Hence, the solution set contains the single element 3.


John