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Real numbers x and y satisfy

 

\(\begin{align*} x + xy^2 &= 250y, \\ x - xy^2 &= -240y. \end{align*} \)

 

find all values of x separated by commas

 

 

I've been really stuck and whatever I did didn't get me anywhere. Thank you to anyone who answers :)

 Jul 24, 2020
 #1
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Use elimination method

First add the 2 equations

 

\(x+x+xy^2+-xy^2=250y+-240y\\ 2x=10y\\ x=5y\\ \)

 

Now sub that into either original equation and solve for y there might be more than one answer.

See if you can go from there.

Don't forget to check your answers.

 Jul 25, 2020

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