SOLUTION: How do I translate this into equations so I can solve it? Thanks! A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six orange

Question 137164: How do I translate this into equations so I can solve it? Thanks!
A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six oranges for $11.16. What is the price of each fruit?
Answer by snovember85(4) (Show Source): You can put this solution on YOUR website!
Let x = price of an orange, y = price of a lemon
(1) 3x + 5y = 10.26, divide 3 on both sides to get x = 10.26/3 - (5/3)y
(2) 6x + 4y = 11.16, divide 6 on both sides to get x = 11.16/6 - (4/6)y
Now you can set equations (1) and (2) equal,
10.26/3 - (5/3)y = 11.16/6 - (4/6)y
then solve this equation for y.
Once you got y, plug it back in either equation (1) or (2) to get x.
RELATED QUESTIONS
Help!! Someone I am having trouble with word problem, by turning this into an algebraic... (answered by stanbon,BrittanyM)

5. A shopper buys three oranges and five lemons for $10.26, while a second shopper buys (answered by josmiceli)

A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four (answered by checkley71)

A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four (answered by hydromojo)

A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four (answered by checkley77)

A university bookstore recently sold a wirebound graph-paper notebook for $2.50, and a... (answered by ankor@dixie-net.com)

Could any one help me with this system of linear equation as a word problem. Thank you... (answered by Earlsdon)

A shopper buys 3 oranges and 5 lemons for $10.26. A second shopper buys 6 oranges and 4... (answered by bucky)

Jenny buys two apples and six lemons for $7.02, while a second shopper buys five... (answered by tanjo3)