SOLUTION: one number is eight more than a second number. three times the first is eight less than five times the second. find the numbers.

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Question 622347: one number is eight more than a second number. three times the first is eight less than five times the second. find the numbers.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let's numbers be:
first: x
second: y}
if first number is eight more than a second number, we have
x=y%2B8............1
if three times the first is eight less than five times the second, we have
3x%2B8=5y............2
now, solve the system:
x=y%2B8............1...substitute in 2
3x%2B8=5y............2
------------------------------
3%28y%2B8%29%2B8=5y............2...solve for y
3y%2B24%2B8=5y
24%2B8=5y-3y
32=2y

highlight%2816=y%29....now find x
x=y%2B8............1
x=16%2B8
highlight%28x=24%29