Question

"circle" all the equivalent expressions to 2x-5y+3 Please tell me which are equivalent 1. X+x-y+1+1+1-y-y-y-y 2. -2+2x+3+(-2y)-y 3. -5y-x-x+2+1 4. Y+y+y+y+y-2x-1-1-1 5. 2+1+x-y+x-2y 6. X-y+x+1-y-3y+2

Answer 1

Given:

The expression is

`2x-5y+3`

To find:

The equivalent expressions.

Solution:

We have,

`2x-5y+3`

In option 1,

`x+x-y+1+1+1-y-y-y-y`

`=(x+x)+(-y-y-y-y-y)+(1+1+1)`

`=2x-5y+3`

So, the expression in option 1 is equivalent to the given expression.

Similarly,

In option 2,

`-2+2x+3+(-2y)-y`

`=2x-3y+1\\eq 2x-5y+3`

So, the expression in option 2 is not equivalent to the given expression.

In option 3,

`-5y-x-x+2+1`

`=-2x-5y+3\\eq 2x-5y+3`

So, the expression in option 3 is not equivalent to the given expression.

In option 4,

`y+y+y+y+y-2x-1-1-1`

`=-2x+5y-3\\eq 2x-5y+3`

So, the expression in option 4 is not equivalent to the given expression.

In option 5,

`2+1+x-y+x-2y`

`2x-3y+3\\eq 2x-5y+3`

So, the expression in option 5 is not equivalent to the given expression.

In option 6,

`x-y+x+1-y-3y+2`

`=2x-5y+3`

So, the expression in option 6 is equivalent to the given expression.

Therefore, the correct options are 1 and 6.