Algebra 1 math for quiz

Question

A fruit stand has to decide what to charge for their produce. They need $10, 4 apples and 4 oranges. They also need $15 for 6 apples and 6 oranges. We put this information into a system of linear equations.Can we find a unique price for an apple and an orange?

Answer 1

4A+4O =10

6A +6O =15

are two linearly dependent equations with an infinite number of solutions, and no unique solution

multiply the 1st equation by 1.5 and you get the 2nd equation