SOLUTION: Suppose we describe an equation as equality between functions f(x) = g(x). How do we interpret solutions to equations graphically? Create an example to use in your explanation. Wha

Question 515072: Suppose we describe an equation as equality between functions f(x) = g(x). How do we interpret solutions to equations graphically? Create an example to use in your explanation. What is a solution to an equation?
I know a "solution" to one equation means "where does it cross the x-axis, if anywhere". This mean what are the value(s) of x when y=0, since y=0 is the definition of the x-axis. Also a "solution" to 2 or more equations means where do they cross each other or where do they have the same value. I just unsure of how the equality between the two functions affects this? I'm just confused thanks for the help!

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You're not confused. If two functions have the
same solution the graphs of those functions
meet at the point of the solution.
------------------------
y = 2x+3
y = x -4
---
2x+3 = x-4
x = -7
---
Solve for "y":
y = x-4
y = -7-4 = -11
y = -11
Solution: (-7,-11)

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Cheers,
Stan H.
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