Question

Write a system of equations that represents the situation.
The sum of two numbers is 15. The second number is equal to the first number plus 1.
Let x = the first number Let y = the second number
First sentence: Equation 1:
Second sentence: Equation 2:
Do not include spaces in your equations.
Part 2: Find the numbers. ( ,)

Answer 1

Answer:

See below.

Step-by-step explanation:

Let x = the first number

Let y = the second number

First sentence: Equation 1: x+y=15

Second sentence: Equation 2: y=x+1

Part 2: Find the numbers.

x + y = 15

y = x + 1

x + x + 1 = 15

2x + 1 = 15

2x = 14

x = 7

y = x + 1 = 7 + 1 = 8

The numbers are 7 and 8.

Answer 2

Answer:

x = 7

y = 8

Step-by-step explanation:

x + y = 15

y = x + 1

Part 2:

x + (x + 1) = 15

x + x + 1 - 1 = 15 - 1

2x = 14

2x/2 = 14/2

x = 7

y = 7 + 1

y = 8

Therefore, x = 7 and y = 8