The example for an inconsistent system of equations:
x + 2 y = 10 and x + 2 y = 20. If we try to solve it algebraically:
x = 10 - 2 y; 10 - 2 y + 2 y = 20; 10 = 20 ( not true ). We will with something that is not true. Graph of those equations shows 2 parallel lines. Therefore the system is inconsistent.
The system is dependent when we have equivalent equations. For example:
2 x + y = 5 and 4 x + 2 y = 10. If we try to solve this system, we will end up with: 0 = 0 ( true ). The graph of this system shows the same line. This system is dependent.
Finally, if we have just one solution for the system of equations then the system is independent. For example: x + y = 5 and - x + 2 y = 10. When we add those equations: 3 y = 15; y = 15 : 3; y = 5; x + 5 = 5; x = 0. So we have just one solution ( x , y ) = ( 0, 5 ). The system of equations is independent.
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my way of answer this is just have to have per because you're dealing with unit rates :)
Answer:
25 percent
Step-by-step explanation:
4/16=0.25=25 percent
Answer: I'm confused. What are you asking here?
Step-by-step explanation:
First, you have to find which two numbers go into 24 when multiplied.
24=
6×4
2×12
24×1
-6×4
-2×12
-24×1
Then you add each set of numbers together.
6+4=10
2+12=14
24+1=25
-6+4=-2
-2+12=10
-24+1=-23
6+(-4)=1
2+(-12)=-10
24+(-1)=23
Then you find which set when added makes 4. Since none of these are 4, it is no solution.
