What's the solution for 2x 7y=2 x y=-1

Simplifying

(2x + - 7y) = 0

Multiply

(2x + - 7y) * (x + y)

(2x * (x + y) + - 7y * (x + y)) = 0

((x * 2x + y * 2x) + - 7y * (x + y)) = 0

Reorder the terms:

((2xy + 2x2) + - 7y * (x + y)) = 0

((2xy + 2x2) + - 7y * (x + y)) = 0

(2xy + 2x2 + (x * - 7y + y * - 7y)) = 0

(2xy + 2x2 + (-7xy + - 7y2)) = 0

Reorder the terms:

(2xy + - 7xy + 2x2 + - 7y2) = 0

Combine like terms: 2xy + - 7xy = - 5xy

(-5xy + 2x2 + - 7y2) = 0

Solving - 5xy + 2x2 + - 7y2 = 0

Solving for variable 'x'.

Factor a trinomial.

(2x + - 7y) (x + y) = 0