Question

The sum of two numbers is 71, and the difference of the numbers is 37. The system of linear equations shown below represents this situation, where x is the greater of the numbers and y is the smaller number. Solve the system to find the two numbers.

x + y = 71
x − y = 37
The larger number is____ the smaller number is_____.

Answer 1

Answer:

Larger number x=54

y=17

Step-by-step explanation:

x+y=71

x-y=37 then x=y+37

substitute x

y+37+y=71

2y=34

y=17

x=y+37=54