Question

System of Equations

You've gone to a fruit stand to get some fresh produce.You notice that person in front of you gets 5 apples and 4 oranges for 10 dollars.You get 5 apples and 5 oranges for 11 dollars.

Can we solve the price of an apple and an orange using this information in a system of linear equations in two variables?
If yes,what is the solution?
If no,what is the reason we cannot?

Answer 1

Answer:

the solution is x= 6/5 and y=1

$let \:t he \: cost \: of \: apples \: and \: \: oranges \: be \: x \: nd \: y \: respctively \: \\ 5x + 4y = 10 \: .........(1) \\ 5x + 5y = 11........(2) \\ by \: using \: elimination \: \\ - y = - 1 \\ y = 1 \\ x = 10 - 4 \div 5 \\ x = 6 \div 5$