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:
b=-a
Step-by-step explanation:
we know that b is located the same distance from 0 as another number, a, but in the opposite direction.
so the sum of the two numbers equal zero
a+b=0
a=-b or b=-a
Do a proportion
8/100= x/70
Cross multiply and divide
70 x 8= 560
560 divided by 100= 5.6
Answer is 5.6
You also could have done .08 x 70 which is also 5.6
Answer:
Volume injected = 1.65 ml
Step-by-step explanation:
mass of Demerol =45 mg.
density of pre-filled in syringe = 50 mg/ml
Volume = 45/50 = 0.9 ml
For atropine mass = 0.3 mg
density= 400 mcg/ml [ Note : 1 mcg = 0.001 mg]
volume filled = 0.3/400(0.001) = 0.75 ml
So, the total volume filled = 0.75+0.9 = 1.65 ml
