Question

x-y=3

work out the value of y-x

Answer 1

The value of y - x is (- 3).

Step-by-step explanation:

Given that,

x - y = 3

Let's multiply the above equation by (- 1) in its both sides. Then,

(x - y) × (- 1) = 3 × (- 1)

or, - (x - y) = - 3

or, - x + y = - 3

or, y - x = - 3

Therefore the value of y - x is (- 3).

Note 1.

We know that any positive term can be made negative just by multiplying the term by (- 1) and any negative term can be made positive by doing the same.

- If we take (a - b) to be a positive term ( > 0 ), then (b - a) is certainly a negative term ( < 0 ).

- If we take (a - b) to be a negative term ( < 0 ), then (b - a) is certainly a positive term ( > 0 ).

Note 2.

i) ( + ) × ( + ) = ( + )

ii) ( + ) × ( - ) = ( - )

iii) ( - ) × ( + ) = ( - )

iv) ( - ) × ( - ) = ( + )

Answer 2

The value of $(y-x)$ is $-3$

Step-by-step explanation:

Given,

$x-y=3$

Where we know,

$(+) \times (-)=-$

$(+)\times (+)=+$

$(-)\times (+)=-$

$(-)\times (-)=+$

Multiply $(-1)$ on both sides,

⇒$(x-y)\times (-1)=3\times (-1)$

⇒$-x+y=-3$

⇒$y-x=-3$

So, The value of $(y-x)$ is $-3$