Answer: x1 = 251/26, x2 = -111/26
Step-by-step explanation:
Greetings!
As illustrated in the diagram, the point you seek is where the two lines intersect.
This intersection point is found by solving the system of linear equations (both equations must be satisfied by the point):
You can approach solving it using the substitution method:
Then substitute x1 into equation 2 to resolve x2:
After which, utilize the x2 value to establish x1:
Answer:
The price amounts to $9.70 per kilogram.
Step-by-step explanation:
This can be resolved using the rule of three.
In a rule of three scenario, the first step involves determining how the values are related, whether directly or inversely.
A direct relationship implies that when one measure increases, the corresponding measure also increases. In this case, cross multiplication serves as the method for the rule of three.
Alternatively, an inverse relationship indicates that an increase in one measurement causes a decrease in the other. In this scenario, line multiplication applies.
Here, the relationship is between the weight of the cheese and its cost. As the weight rises, so does the expense, representing a direct proportion.
Solution:
According to the problem, cheese is priced at $4.40 per pound. Given that each kg equals 2.2 pounds, we can deduce how many kg correspond to one pound.
1 pound - x kg
2.2 pounds - 1 kg
kg
Given that cheese costs $4.40 for a pound, and there are 0.45 kg in one pound, we calculate the cost for 1 kg.
$4.40 - 0.45 kg
$x - 1 kg
The price is $9.70 per kilogram.