Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=−3x 12y=−6x 2 Select the cor
1 answer:
System of equations helps to compare two real-life situations. The system is an Independent Consistent System.
<h3>What is a System of the equation?</h3>
Inconsistent System
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
Given to us
y = −3x + 12
y = −6x + 2
As we have the value of y in both equations equate it against each other,
We know the value of x, substitute the value of x in the equation of y,
As the value of both x and y is unique, therefore, there is a unique solution for the given system of equations.
Thus, the system has a unique solution, therefore, the system is an Independent Consistent System.
Learn more about System of equation:
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Answer:
Option a
Step-by-step explanation:
Lets verify
RHS
- Use distributive law
- a(b-c)=ab-bc
Hence verifed
Let the number of reserved tickets = x
Let the number of lawn seats = y
Constraint functions:
Maximum capacity means
For concert to be held
means
Objective functions :
Maximum profit equation p = 65x +40y
Intersection points :
(10000,10000) (20000,0)(2500,2500)(5000,0)
p at (10000,10000) = 65(10000) + 40(10000) = $1050000
p at (20000,0) = 65(20000) + 40(0) = $1300000
p at (2500,2500) = 65(2500) + 40(2500) = $262500
p at (5000,0) = 65(5000) + 40(0) = $325000
Hence maximum profit occurs when all 20000 reserved seats are sold and the profit is $1300000
Please find attached the graph of it.
