Explain method to solve two equations in two unknowns where one of the variables has a square term

gvaldytist

gvaldytist

Answered question

2022-06-29

Explain method to solve two equations in two unknowns where one of the variables has a square term
Given:
96 x 2 y + 1 + y = 0
96 x y 2 + 2 + x = 0
Solve for x and y
How should I find x and y?

Answer & Explanation

Christina Ward

Christina Ward

Beginner2022-06-30Added 19 answers

Well, we can start doing this:
96 x 2 y = 1 + y
96 x y 2 = 2 + x
Multiply the top equation by x and the bottom by y, equate the right hand sides, and subtract out x y gives x = 2 y. Substituting back into the top equation and rearranging gives
y 4 + y 3 = y 3 ( y + 1 ) = 24 ,
which has solution y = 2. Then, x = 4.
Eden Solomon

Eden Solomon

Beginner2022-07-01Added 7 answers

I think that's expert's answer is wrong, what do you mean?

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