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"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 :

Given:

The expression is

[tex]2x-5y+3[/tex]

To find:

The equivalent expressions.

Solution:

We have,

[tex]2x-5y+3[/tex]

In option 1,

[tex]x+x-y+1+1+1-y-y-y-y[/tex]

[tex]=(x+x)+(-y-y-y-y-y)+(1+1+1)[/tex]

[tex]=2x-5y+3[/tex]

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

Similarly,

In option 2,

[tex]-2+2x+3+(-2y)-y[/tex]

[tex]=2x-3y+1\neq 2x-5y+3[/tex]

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

In option 3,

[tex]-5y-x-x+2+1[/tex]

[tex]=-2x-5y+3\neq 2x-5y+3[/tex]

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

In option 4,

[tex]y+y+y+y+y-2x-1-1-1[/tex]

[tex]=-2x+5y-3\neq 2x-5y+3[/tex]

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

In option 5,

[tex]2+1+x-y+x-2y[/tex]

[tex]2x-3y+3\neq 2x-5y+3[/tex]

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

In option 6,

[tex]x-y+x+1-y-3y+2[/tex]

[tex]=2x-5y+3[/tex]

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

Therefore, the correct options are 1 and 6.

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