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:
We can compute this in 2 ways:
305 downwind - 260 still air = 45 mph wind velocity
260 still air - 215 downwind = 45 mph wind velocity
Step-by-step explanation:
Answer:
(4, -18)
Step-by-step explanation:
First Use this formula for the x -axis -b/2a
-8/2(1) is -4
Then plug in -4 to the equation
(-4)^2+8(-4)-2 = -18
If 5 is a factor of the number, then its ones place is either a 5 or a zero.
There are an infinite number of them.
-- Think of any number.
-- Multiply 4 by your number. Write it on top.
-- Multiply 5 by your number. Write it on the bottom.
-- You have a new fraction that's equivalent to 4/5 .
How many different numbers can you think of ?
That's how many new fractions you can create
that are ALL equivalent to 4/5 .
