Question

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

Answer 1

write second equation as x = y+9 and substitute into first equation

Answer 2

get
\[(y+9)^2+2y^2=2\]

Answer 3

now multiply out and collect terms on the left
\[y^2+18y+81+2y^2=2\]
\[3y^2+18y+79=0\]

Answer 4

now you have a quadratic equation. if you are lucky it factors

Answer 5

can you helo me factor it i would rather not do the quadratic equation

Answer 6

Since 79 is prime, it doesn't look promising.

Answer 7

wanna helo me the the quadratic equation then

Answer 8

\[x=(-18\pm\sqrt{(18)^{2}-4(3)(79)})/6\]

Answer 9

That radical looks negative to me. So doesn't look like there's a real solution.