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:

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) (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. 

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

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