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 37. The difference of the two numbers is 7. Find the two numbers.
A)-6 and 1
B)-6 and 1; -1 and 6
C)-6 and -1; 1 and 6
D)-1 and 6

Question

Quizplus · Accepted Answer

The system of equations based on the given conditions is $x^2 + y^2 = 37$ and $x - y = 7$. Solving this system yields two pairs of solutions: $(-6, 1)$ and $(-1, 6)$, which means both numbers and their orders are considered, making option B correct.

Let X Represent One Number and Let Y Represent the Other