1.

`5xxx^2+x y+y^2=100`

Answer» Subtract From Both Sides

`(5x^2 + xy + y^2) - y^2 = 100 - y^2`

Simplify Left Side

`5x^2 + xy = 100 - y^2`

Subtract From Both Sides

`(5x^2 + xy) - xy = (100 - y^2) - xy`

Simplify Left Side

`5x^2 = (100 - y^2) - xy`

Divide From Both Sides

`(5x^2) / 5 = ((100 - y^2) - xy) / 5`

Simplify Fraction

`x^2 = ((100 - y^2) - xy) / 5`

Simplify Right Side

`x^2 = 20 - y^2 / 5 - xy / 5`



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