Question

Please HELP! I am supposed to get two x and y values but its not happening?! Solve 4xy + 2y2 = 80 and 6xy + 4y2 = 136 for x and y.

Answer 1

I would solve it like this:

4xy+2*(y^2)=80
6xy+4*(y^2)=136

It's simultaneous equations
first of all it's better to eliminate the 'xy' component otherwise it'll get more complicated

So scale up your equations equivalently:
24xy+12*(y^2)=480
24xy+16*(y^2)=544

then eliminate 24xy so:
12*(y^2)-480=16*(y^2)=544
solve for y=+/- 4

Then simply sub back into one of your original equations and solve for your two values of x

I hope this helps! :)

Answer 2

thank you so much!