How can I combine two equations with the same variables?

Thread starter bejoyjohn
Start date Nov 12, 2007

AI Thread Summary

To combine the equations z = f(x,y) and z = g(x,y), set them equal to each other, resulting in f(x,y) = g(x,y). This approach utilizes the principle that if two expressions equal the same variable, they must be equal to each other. Solving this equation can lead to insights about the relationship between the functions f and g. Depending on the specific forms of f and g, further algebraic manipulation may be required to find solutions or simplify the equation. Ultimately, this method provides a straightforward way to analyze the relationship between the two equations.

Nov 12, 2007

bejoyjohn

I have z=f(x,y) also z=g(x,y). How do I combine these two expressions. Help me out

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Nov 13, 2007

HallsofIvy

Science Advisor

Homework Helper

"Things both equal to a third thing are equal to each other".

If z= f(x,y) and z= g(x,y) then f(x,y)= g(x,y)!

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