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:
The common ratio is -2
Next three terms are 18, -36, and 72
Step-by-step explanation:
The common ratio is -2 since each consecutive term is being multiplied by -2
The next three terms are -9(-2) = 18, 18(-2) = -36, and -36(-2) = 72
Answer:
A. 24.5
B. 29.6
Step-by-step explanation:
A.
19 - 13.5 = 5.5
30 - 5.5 = 24.5
24.5 - 5.5 = 19
24.5
B.
43.8 - 36.7 = 7.1
36.7 - 7.1 = 29.6
29.6 - 7.1 = 22.5
29.6
2 different possible ways if there is only 2 students.
Answer:
2
Step-by-step explanation:
2^2=4
-7*4=-28