Solve Problems Using Systems of Nonlinear Equations
Let x represent one number and let y represent the other number. Use the given conditions to write a system of
nonlinear equations. Solve the system and find the numbers.
-The sum of the squares of two numbers is 10. The difference of the two numbers is 4. Find the two numbers.
A)-3 and 1; -1 and 3
B)-3 and 1
C)-1 and 3
D)-3 and -1; 1 and 3

Question

Quizplus · Accepted Answer

The system of equations based on the given conditions is: $x^2 + y^2 = 10$ and $x - y = 4$. Solving this system yields the pairs of numbers (-3, 1) and (-1, 3), which satisfy both conditions.