Volume problem...
1 answer:
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Answer:
The solution of the system can be given as (5,-8).
Step-by-step explanation:
Given system of equations:
To solve the given system of equations:
Solution:
We will use substitution to solve the given system.
We will substitute the values in terms of
from the equation
into the other equation to solve for
Substituting into
.
We have:
<em>Using distribution.</em>
<em>Combining like terms.</em>
Adding 6 both sides.
Dividing both sides by 3.
∴
<em>Plugging in into
.</em>
We have,
∴
The solution of the system can be given as (5,-8).
Answer: The answer is 0 hours and 10 hours.
Step-by-step explanation: Given that me and my friend are on a road trip. My speed is 70 miles per hour and my friend's speed is 60 miles per hour. Our plan is to drive less than 15 hours and at least 600 miles each day.
Also, my friend will drive more hours than me.
Let, 'x' and 'y' be the number of hours drove by me and my friend respectively. Then, according to the given information, we have the following inequalities.
When we plot these inequalities in a graph paper, we can see in the attached figure, where the common shaded region gives the solution set, one of the solution is point 'P', given by
x = 0 and y = 10.
This solution satisfy all the three conditions given above.
Thus, one of the solution is - I will drive for 0 hours and my friend will drive for 10 hours.
