SOLUTION: Six percent of one number diminished by one percent of another leaves 9. Five percent of the first increased by 3 percent of the second equals 19. Find the numbers. My attempt:

Algebra ->  Equations -> SOLUTION: Six percent of one number diminished by one percent of another leaves 9. Five percent of the first increased by 3 percent of the second equals 19. Find the numbers. My attempt:       Log On


   

Question 1064323: Six percent of one number diminished by one percent of another leaves 9. Five percent of the first increased by 3 percent of the second equals 19. Find the numbers.
My attempt:
First solve for x in the first equation:
.06x-.01y=9
x=3/2 +y/6
Then plug this in for x in the second equation:
.05(3/2+y/6) + .03y=19
Doesn't seem to work
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
Six percent of one number diminished by one percent of another leaves 9.
.06x-.01y=9
You didn't solve that for x correctly. cross%28x=3%2F2+%2By%2F6%29

Multiply through by 100

6x-y=900

You should solve that for y, not x

6x-900=y

the equation for the second sentence:

Five percent of the first increased by 3 percent of the second equals 19.
.05x-.03y=19

Multiply that through by 100

5x-3y=1900

Now substitute 6x-900 for y in that and you'll get it.
If you have trouble tell me in the thank-you note form below, and
I'll get back to you by email.

Edwin