Question

What does it mean for a number to be the "solution" to an equation?

Give an example of a variable equation and its solution.
Explain in complete sentences how you know that number is the solution.

Answer 1

If a given quantity is a solution to an equation, it means that the LHS and RHS will be equal when the quantity is plugged in for the variable.

Answer 2

I am in the beginning of algebra one 9th grade i didnt understand what they are asking for

Answer 3

Hey All !

Answer 4

So , Mr. @Coyzita what is NOT an equation ( first let us understanding on that) :

Answer 5

For finding the solution, you have to solve for the variable.

Answer 6

3= 16-13 is NOT an equation because it is a mathematical relation that is just true.
ALWAYS TRUE

Answer 7

3 = 16 -12 is Also NOT an equat. because it is
ALWAYS FALSE

Answer 8

Now, we can UNITE BOTH of these situation in a mathematical relation
3 = 16 - X

This time, THIS RELATION is SOMETIMES TRUE, and SOMETIMES FALSE

Answer 9

"What do I mean sometimes ?" :

Answer 10

One can PUT A NUMBER VALUE INSTEAD OF THE LETTER X. We cal it "substitute" or less formally "plug in"

Answer 11

There will be some values , which after "plugging in" will give REALLY TRUE EQUALITY.
Such numbers are called SOLUTIONS TO THE EQUATION

Answer 12

Repeat:
3 = 16 - 12 is NOT an EQUATION. It is TRUE ALWAYS.

3 = 16 - X is an EQUATION. The solution is a number that after being SUBSTITUTED instead of the letter X will give TRUE EQUALITY

Answer 13

So - an expression containing Variable letters (Variables ) and two sides with required equality sign between them is an equation.

Solution is the value that one can plug instead of the letter and get TRUE expression

Answer 14

Mister @Coyzita ?

Answer 15

gone he is, isn't he , hmmm .....