The value of y-x is (-3)
<u>Solution:</u>
Given: The value of x-y=3
To find: The value of y-x
![\bold{x-y=3\rightarrow (1)}](https://tex.z-dn.net/?f=%5Cbold%7Bx-y%3D3%5Crightarrow%20%281%29%7D)
Let's multiply the equation (1) by (- 1) on both sides,
![\Rightarrow\bold{(x - y)\times(- 1) = 3\times(- 1)}](https://tex.z-dn.net/?f=%5CRightarrow%5Cbold%7B%28x%20-%20y%29%5Ctimes%28-%201%29%20%3D%203%5Ctimes%28-%201%29%7D)
![\Rightarrow\bold{-(x-y)=-3}](https://tex.z-dn.net/?f=%5CRightarrow%5Cbold%7B-%28x-y%29%3D-3%7D)
On multiplying the sign,
![\Rightarrow\bold{(-x+y)=-3}](https://tex.z-dn.net/?f=%5CRightarrow%5Cbold%7B%28-x%2By%29%3D-3%7D)
The above equation can also be written as,
![\Rightarrow\bold{y-x=-3\rightarrow \text{(The required equation)}}](https://tex.z-dn.net/?f=%5CRightarrow%5Cbold%7By-x%3D-3%5Crightarrow%20%5Ctext%7B%28The%20required%20equation%29%7D%7D)
<u>Multiplication of signs:</u>
![\Rightarrow( + )\times( + ) = ( + )](https://tex.z-dn.net/?f=%5CRightarrow%28%20%2B%20%29%5Ctimes%28%20%2B%20%29%20%3D%20%28%20%2B%20%29)
![\Rightarrow( + )\times( - ) = ( - )](https://tex.z-dn.net/?f=%5CRightarrow%28%20%2B%20%29%5Ctimes%28%20-%20%29%20%3D%20%28%20-%20%29)
![\Rightarrow( - )\times( + ) = ( - )](https://tex.z-dn.net/?f=%5CRightarrow%28%20-%20%29%5Ctimes%28%20%2B%20%29%20%3D%20%28%20-%20%29)
![\Rightarrow( - )\times( - ) = ( + )](https://tex.z-dn.net/?f=%5CRightarrow%28%20-%20%29%5Ctimes%28%20-%20%29%20%3D%20%28%20%2B%20%29)
In simpler terms, when we multiply two integers with the same signs, the result is always positive and when we multiply two integers with different signs, the result is always negative.
Answer:
CD= 2x-1
Step-by-step explanation:
AD = 6x-4
AC = 4x - 3
CD= AD- AC
CD= 6x-4 - (4x - 3)
CD= 6x - 4 - 4x +3
CD= 2x -1
Therefore, the value of CD= 2x-1
C. You can graph it on Desmos and all the given points work.
Answer:
Let E be the event that the first marble selected is green. Let F be the event that the second marble selected is green. A box contains 20 blue marbles, 16 green marbles and 14 red marbles P(F/E)=15/49 because if the first marble selected is green there are 49 in total and 15 are green. I think this is it.
Step-by-step explanation: