Question

The sum of two numbers is 24. The second number minus the first number equals 2.

Let x represent the first number. Let y represent the second number.

Write a system of equations to represent the situation.
First sentence: First Equation:
Second Sentence: Second Equation:
*Do not include spaces in your equations.
Part 2: Find the numbers. ( , )

Answer 1

(11, 13)

Explanation:

First Equation: x+y=24

Second Equation: y=x+2

x + (x + 2) = 24

2x + 2 - 2 = 24 - 2

2x/2 = 22/2

x = 11

y = (11) + 2

y = 13

Therefore, the solution to the system is (11, 13)