Algebra Homework Help. Find the values of x and y. x^2 + 4y^2 =40 xy=6
Considering x and y as two positive real numbers.
From equation 2, we can make x the subject of the formula
Substituting equation 3 into equation 1, we get
Multiplying both sides by y², we get
Collecting the like terms
On dividing both sides by 4, it results to
is a factor in and it can be expanded as (y+1)(y-1)
Furthermore,
So,
Substituting y=3 in equation 2xy=6 Y=6/x, When x=3 , y=6/3 y=2 when x=1, y=6/1 y=6 when x= -3 , y=6/-3 Y=-2
When x=-1, y=6/-1 Y=-6
Reference
Ostrowski, A. M. (2016). Solution of Equations and Systems of Equations: Pure and Applied Mathematics: A Series of Monographs and Textbooks (Vol. 9). Elsevier.
