Afruit stand has to decide what to charge for their produce. they decide to charge $5.30\$5.30$5.30dollar sign, 5, point, 30 for 1111 apple and 1111 orange. they also plan to charge $14\$14$14dollar sign, 14 for 2222 apples and 2222 oranges. we put this information into a system of linear equations. can we find a unique price for an apple and an orange?

For this case, the first thing we must do is define variables.  we have then:   x: unit price of apples  y: unit price of oranges  we write the system of equations.  we have then:     the system can not be solved because it is a system with two lines that have the same slope and therefore are parallel.  rewriting the equation two we have:     therefore, the slope of both lines is:     as the lines are parallel, they do not intersect and therefore the system has no solution  answer:   we can not find a unique price for an apple and an orange.