Step-by-step explanation:
Let x be the price of an apple and y be the price of an orange.
We have been given that a fruit stand need $10 for 4 apples and 4 oranges. We can represent this information as:
[tex]4x+4y=10...(1)[/tex]
We are also told that they need $15 for 6 apples and 6 oranges. We can represent this information as:
[tex]6x+6y=15...(2)[/tex]
Therefore, our desired system of equations will be:
[tex]4x+4y=10...(1)[/tex]
[tex]6x+6y=15...(2)[/tex]