Determine the real solutions to the system of nonlinear equations.
-$x y = 20$ $x + y = 9$
A) $( 5,4 ) , ( 4,5 )$
B) $( 6,3 ) , ( 3,6 )$
C) $( 20,1 ) , ( 1,20 )$
D) $( 10,2 ) , ( 2,10 )$

Question

Quizplus · Accepted Answer

The system can be solved by substitution or elimination. Using the second equation, $y = 9 - x$, and substituting into the first equation gives $x(9-x) = 20$, which simplifies to a quadratic equation. Solving this equation yields $x = 5$ or $x = 4$, leading to the pairs $(5, 4)$ and $(4, 5)$ as the solutions.

Determine the Real Solutions to the System of Nonlinear Equations xy=20x y = 20xy=20

Determine the Real Solutions to the System of Nonlinear Equations $x y = 20$