Question

The sum of Paul’s and Sam’s ages is 4 and the difference between their ages is 0. Two equations to model this situation are x + y = 4 and x - y = 0. The solution represents both of their ages. What quadrant does the solution lie in?

A.) IV
B.) II
C.) III
D.) I

Answer 1

D.) |.

Explanation:

x + y = 4

x - y = 0 Adding:

2x + y - y = 4

2x = 4

x = 2

and y = 4 - 2 = 2.

The point (2, 2) is in quadrant |