# Thread: Solve System of Equations

1. ## Solve System of Equations

Solve this system of equations.

y = x^(3/2)
y = e^(-x)

My Answer is x = e^(-2x/3).
Is this right?

2. ## Re: Solve System of Equations

Originally Posted by nycmath
Solve this system of equations.

y = x^(3/2)
y = e^(-x)

My Answer is x = e^(-2x/3).
Is this right?
Nah. The solution to this system is in terms of the Lambert W function which I'd be surprised if you've been taught about.

Lambert W function - Wikipedia, the free encyclopedia

$x=\dfrac 3 2 W(\frac 2 3)$

You sure you have the problem correctly written?

3. ## Re: Solve System of Equations

Originally Posted by nycmath
Solve this system of equations.

y = x^(3/2)
y = e^(-x)

My Answer is x = e^(-2x/3).
Is this right?
Far from being the "right answer", it is not even an "answer"! You must have x= a single number. No matter how complicated the right side there cannot be an "x" on the right side.

4. ## Re: Solve System of Equations

Originally Posted by nycmath
Solve this system of equations.

y = x^(3/2)
y = e^(-x)

My Answer is x = e^(-2x/3).
Is this right?
Part of your answer will be the values of x which satisfy this equation. The only way to do that (unless you know the Lambert W Function) is using numerical methods or getting a decimal approximation with a calculator (which also uses numerical methods).

You then need to get the corresponding y values.