Question

The difference between two numbers is 5. six times the larger number is 8 times the smaller number. write a system of equations describing the given conditions. then solve the system by the substitution method and find the two numbers.

Answer 1

X - y = 5....x = 5 + y
6x = 8y

6(5 + y) = 8y
30 + 6y = 8y
30 = 8y - 6y
30 = 2y
15 = y

x - y = 5
x - 15 = 5
x = 15 + 5
x = 20

ur 2 numbers are : 20 and 15