SOLUTION: Jenny buys two apples and six lemons for $7.02, while a second shopper buys five apples and three lemons for $2.76. What is the price of each fruit?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jenny buys two apples and six lemons for $7.02, while a second shopper buys five apples and three lemons for $2.76. What is the price of each fruit?      Log On


   

Question 726678: Jenny buys two apples and six lemons for $7.02, while a second shopper buys five apples and three lemons for $2.76. What is the price of each fruit?
Answer by tanjo3(60) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the price for an apple and y be the price for a lemon.
Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++2%5Cx+%2B+6%5Cy+=+7.02%2C%0D%0A++++5%5Cx+%2B+3%5Cy+=+2.76+%29%0D%0A++

Any system of equations:


has solution

or



(x=-0.1875, y=1.2325}


The question has no reasonable answer as x is negative.
NOTE: Alternatively, multiply equation (2) by 2 and subtract (2) from (1) and notice that x is negative.