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.

Question

Jackie

Mathematics

2 March, 14:33

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.

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Jaida · 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