Question

The sum of two numbers is 130 and their difference is 34. Let x be the first number and y be the second

number. Set up a system of equations and use the elimination method to find the numbers. You must
show your work.

Answer 1

the two numbers are 82 and 48

Explanation:

let the first number = x

let the second number = y

according to the given conditions:

x + y = 130 --------------(1)

x - y = 34 -----------------(2)

by using the elimination method we add both equations (1) and (2) and the resultant value is

2x = 164

x = 164/2 = 82

by substituting the value of x in eq (1)

82 + y = 130

y = 130-82

y = 48