Answer:
1. Consistent equations
x + y = 3
x + 2·y = 5
2. Dependent equations
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
x + 2 = 4 and x + 2 = 6
5. Independent equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
4 = 2
7. One solution
3·x + 5 = 11
x = 2
Step-by-step explanation:
1. Consistent equations
A consistent equation is one that has a solution, that is there exist a complete set of solution of the unknown values that resolves all the equations in the system.
x + y = 3
x + 2·y = 5
2. Dependent equations
A dependent system of equations consist of the equation of a line presented in two alternate forms, leading to the existence of an infinite number of solutions.
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
These are equations with the same roots or solution
e.g. 9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
Inconsistent equations are equations that are not solvable based on the provided set of values in the equations
e.g. x + 2 = 4 and x + 2 = 6
5. Independent equations
An independent equation is an equation within a system of equation, that is not derivable based on the other equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
No solution indicates that the solution is not in existence
Example, 4 = 2
7. One solution
This is an equation that has exactly one solution
Example 3·x + 5 = 11
x = 2
Answer:
A.
Step-by-step explanation:
i pretty sure
Answer:
Shift the graph of y = x2 left 13 units and then up 6 units.
Step-by-step explanation:
Answer:
The number of nickel's coin is 150
The number of dime's coin is 35
The number of quarter's coin is 75
Step-by-step explanation:
Let
x ----> the number of nickel's coin
y ---> the number of dime's coin
z ---> the number of quarter's coin
Remember that
we know that
----> equation A
----> equation B
----> equation C
substitute equation C in equation A and equation B
---> equation A1
-----> equation B1
Solve the system of equations A1 and B1 by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (75,35)
see the attached figure
so
z=75, y=35
<em>Find the value of x</em>
therefore
The number of nickel's coin is 150
The number of dime's coin is 35
The number of quarter's coin is 75
Give me 8 mins i will answer in the comments
