if you’re staying have to decide what do you charge for their produce. They decide to charge $5.30 for one apple and one orange. They also plan to charge $14 for two apples and two oranges. We put this information into a system of linear equations. Can we find a unique price or an apple and orange
Answers
LET ME EXPLAIN WITH AN EXAMPLE
A fruit stand has to decide what to charge for their produce.They decide to charge $5.30 for 1 apple and 1 orange. They also plan to charge $14 for 2 apples and 2 oranges. We put this information into a system of linear equations. Can we find a unique price for an apple and an orange?
Step-by-step explanation:
Answer:
No, we cannot.
Step-by-step explanation:
Let a represent the number of apples and r represent the number of oranges.
The first equation would then be
1a + 1r = 5.30
The second equation would be
2a + 2r = 14
We can see that the coefficients in the second equation are double those in the first equation. However, if we multiply the first equation by 2, we get
2(1a + 1r = 5.30) → 2a + 2r = 10.60
The constant at the end of the equation is not 14, but the coefficients of the variables are the same. This means this describes a line parallel to this line; this means they will not intersect and thus there is no solution to this system.