SOLUTION: The difference between two numbers is 12. Five times the larger number is 17 times the smaller number. Write a system of equations describing the given conditions. Then solve the

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Question 1024893: The difference between two numbers is 12. Five times the larger number is 17 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 by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
hi dear,
let the bigger number be x,
" " smaller " " y.
from your questiomn,
x-y=12----(1)
5x=17y----(2)
from equation (1)
x=12+y---(3)
put (3) in (2)
5(12+y)=17y
60+5y=17y
17y-5y=60
12y=60
y=5
put y=5 in (3)
x=12+5
x=17
The nubers are 17 and 5.
----Timnewman------