Solve for x and y?

Question

x^2 + 2xy - 2y^2 = -11

-x^2 - xy +2y^2 = 9

Answer 1

xy=-2
x=-2/y
4/y^2-4-2y^2=-11
-2y^4+7y^2+4=0
let t=y^2
-2t^2+7t+4=0
t1=-0.5 t2=4
t1 is incorrect
y1=2 y2=-2
x1=-1 x2=1

Answer 2

add each term of the equations
x^2 + 2xy - 2y^2+11=0
-x^2 - xy +2y^2 - 9=0
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0+xy+0+2=0
x=-2/y

y=-2/x

Answer 3

x^2 + 2xy - 2y^2 +11 = 0
+ (-x^2 - xy + 2y^2 - 9 = 0)
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xy + 2 = 0

x = -2 / y

y = -2 / x

Answer 4

xy = x + y xy = x + y (subtract x from the two factors) xy - x = y (ingredient the left hand side) x(y - a million) = y (divide the area in parenthesis, x(y-a million) is a single term) x = y / (y-a million) The area human beings look to have problem with is the factoring. merely think of approximately it, in case you distribute x(y - a million) you wind up with xy - x, a similar element. In a nutshell, it incredibly is trouble-free factoring, a required skill for extra progressed math. the different area human beings look to have problem with is dividing x(y-a million) by utilising (y-a million), they think of that is 2 words by way of fact there's a minus sign. Your instructor replaced into incorrect while he/she pronounced "plus and minus separate distinctive words", a term is any variety expanded by utilising the different variety. So, sure, y-a million is two separate words, yet x and (y-a million) are one term, in math there could be "words interior of words", that is troublesome. desire that helps.