SOLUTION: A merchant has two kinds of paint. If 9 gal of the inexpensive paint is mixed with 7 gal of the expensive paint, the mixture will be worth $19.70 per gallon. If 3 gal of the ine

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Question 874915: A merchant has two kinds of paint. If
9 gal of the inexpensive paint is mixed with 7 gal of the
expensive paint, the mixture will be worth $19.70 per
gallon. If 3 gal of the inexpensive paint is mixed with
5 gal of the expensive paint, the mixture will be worth
$19.825 per gallon. What is the price per gallon of each type of paint?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Simple linear system, two variables.
x, price of cheap
y, price of high priced

9x+7y=19.7
and
3x+5y=19.825

Solve whatever way you want. You could try multiplying the second equation by 3, and use this to eliminate x, and then solve for y...
3%283x%2B5y%29-9x-7y=3%2819.825%29-19.7, as a start,...