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 base is 18.3ft
Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot. (height=5x)(base=6x)
Step-by-step explanation:
Given;
Area = 280ft^2
height = 5x
Base = 6x
The area of the parallelogram A can be written as;
Area = base × height
A = b×h
Substituting the values of Area, base and height.
280 = 5x × 6x
280 = 30x^2
x^2 = 280/30
x = √(280/30)
Since the base = 6x ;
Substituting the value of x.
Base = 6x = 6(√(280/30))
Base = 18.3ft
The base is 18.3ft
Answer:
4000
Step-by-step explanation:
Answer:
answer is 1 5/12 my sister said she did the quizz and helped me answer this
Step-by-step explanation:
have a good day!!
Answer:
- 9 easy
Step-by-step explanation:
go ahead easiest thing ever lol
