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ryanzl1291
23.06.2019 •
Mathematics
Afruit stand has to decide what to charge for their produce. they decide to charge \$5.30$5.30 for 11 apple and 11 orange. they also plan to charge \$14$14 for 22 apples and 22 oranges. we put this information into a system of linear equations. can we find a unique price for an apple and an orange?
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Ответ:
No, we can not find a unique price for an apple and an orange.
Step-by-step explanation:
Let x be the price of each apple and y be the price of each orange.
We have been given that a fruit stand charge $5.30 for 1 apple and 1 orange. We can represent this information as:
We are also told that they plan to charge $14 for 2 apples and 2 oranges. We can represent this information as:
Upon dividing equation (2) by 2 we will get,
Upon converting our equations into slope-intercept form we will get,
We can see that slope for both lines in -1, but both lines have different y-intercept, so these lines are parallel lines.
Since parallel lines do not intersect, therefore, we can not find a unique price for an apple and an orange.
Ответ: