Question

if X + Y is equal to 2 and X into Y is equal to 1 what is the solution

Answer 1

Given,

$x + y = 2 \\ xy = 1$

from(1),

$x = 2 - y$

substitute in (2)

$(2 - y)y = 1 \\ - {y}^{2} + 2y = 1 \\ {y}^{2} - 2y + 1 = 0 \\ {y}^{2} - y - y + 1 = 0 \\ y(y - 1) - 1(y - 1) = 0 \\ y = 1$

substitute in equation (1)

$x + y = 2 \\ x + 1 = 2 \\ x = 2 - 1 \\ x = 1$

Therefore the solutions are,

${\bold{\boxed{1}}}$

${\bold{\boxed{1}}}$

Hope It Helps ✨❤