The value of y-x is (-3)
Solution:
Given: The value of x-y=3
To find: The value of y-x
[tex]\bold{x-y=3\rightarrow (1)}[/tex]
Let's multiply the equation (1) by (- 1) on both sides,
[tex]\Rightarrow\bold{(x - y)\times(- 1) = 3\times(- 1)}[/tex]
[tex]\Rightarrow\bold{-(x-y)=-3}[/tex]
On multiplying the sign,
[tex]\Rightarrow\bold{(-x+y)=-3}[/tex]
The above equation can also be written as,
[tex]\Rightarrow\bold{y-x=-3\rightarrow \text{(The required equation)}}[/tex]
Multiplication of signs:
[tex]\Rightarrow( + )\times( + ) = ( + )[/tex]
[tex]\Rightarrow( + )\times( - ) = ( - )[/tex]
[tex]\Rightarrow( - )\times( + ) = ( - )[/tex]
[tex]\Rightarrow( - )\times( - ) = ( + )[/tex]
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.
