SOLUTION: If you have two cars and in one car you fill up 15 liters of gasoline and in second car you fill up 5 liter of petrol. You pay Rs. 1510 for both filling. The price of gasoline (per

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Question 874931: If you have two cars and in one car you fill up 15 liters of gasoline and in second car you fill up 5 liter of petrol. You pay Rs. 1510 for both filling. The price of gasoline (per liter) is Rs. 42 less that the price of petrol. Find the price per liter of gas and petrol.
Hint: Use matrices to solve the question.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
g price for gasoline
p price for petrol
"Both filling", might mean the sum of the costs for the gasoline car and the petrol car.

g=p-42;
15g%2B5p=1510;
Your two equations.

As a system, you can represent as
g-p=-42
and
15g%2B5p=1510

Simplify the money sum equation by dividing both sides by 5.
Your starting matrix can be like,
%28matrix%282%2C3%2C1%2C-1%2C-42%2C3%2C1%2C302%29%29

You should handle the matrix work on your own.