SOLUTION: Solve each system by substitution x/6 + y/10= 3 5x/16 - 3y/16= 15/8 / are fractions. Sorry. I know the answer is 12,10. Can you show me how to get that?

Question 329179: Solve each system by substitution
x/6 + y/10= 3
5x/16 - 3y/16= 15/8
/ are fractions. Sorry.
I know the answer is 12,10. Can you show me how to get that?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve each system by substitution

:
Get rid of those annoying fractions
:
Mult 1st equation by 30, results:
5x + 3y = 90
3y = 90 - 5x
divide thru by 3
y = 30 - x; use this for substitution
:
Mult 2nd equation by 16, results
5x - 3y = 2(15)
5x - 3y = 30
Substitute for y
5x - 3(30 - x) = 30
5x - 90 + 5x = 30
5x + 5x = 30 + 90
10x = 120
x = 12
:
Find y using eq: 5x - 3y = 30; replace x with 12
5(12) - 3y = 30
60 - 3y = 30
-3y = 30 - 60
-3y = -30
y = +10
:
:
Check solutions in the first original equation

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