Hello, necromancer745!

The instructions are missing.

We can't solve an equation with two variables in it.

I'll assume that we want theratio: y/x

We have: .2x² + 2y² .= .5xy . → . 2y² - 5xy + 2x² .= .02(x² + y²) .= .5xy

Divide by x²: .2(y/x)² - 5(y/x) + 2 .= .0

Let u = y/x

and we have: .2u² - 5u + 2 .= .0

. . which factors: .(u - 2)(2u - 1) .= .0

. . and has roots: .u .= .2, ½

Back-substitute and we have: .y/x = 2 .and .y/x = ½