Question

The sum of two numbers is 44. The sum of seven times the larger and four times the smaller is 257. Write a system of linear equations to represent this problem then solve that system to find the two numbers.

Answer 1

Explanation:

x + y = 44

7x + 4y = 257

y = 44 - x

7x + 4(44 -x) = 257

7x + 176 - 4x = 257

3x = 81

x = 27

27 + y = 44

y = 17