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.

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.

anonymous · Answer

What are you having trouble with?

anonymous · Answer

It means that the equation = 0 if you plugin that number.

e.g.
Solution to  2x-10 is 5, since 2(5)-10 =0

Solutions to (x-3)(x+4) are 3, and -4, since (3-3)(3+4)=0 and (-4-3)(-4+4)=0

and so on...

anonymous · Answer

2x-10 and (x-3)(x+4) are expressions, not equations.

Your statement would be true for 2x-10=0 and (x-3)(x+4)=0, which is fundamentally different.

A solution to the equation demonstrates equality in the equation.

anonymous · Answer

Ok thanks. Can u also help me with my problem?

anonymous · Answer

Solutions make statements true.