Question

Which pair shows equivalent expressions?

2x+10=-2(x-5)
0 -2(x+5)=2x-10
-2x-10=-2(x+5)
-2(x–5)=-2X=10​

Answer 1

C

Explanation:

Answer 2

Option 3

Explanation:

We need to find a pair which shows equivalent expressions.

First equation is

`2x+10=-2(x-5)`

`LHS=2x+10`

`RHS=-2(x-5)=-2(x)-2(-5)=-2x+10`

`LHS\\eq RHS`

Option 1 is incorrect.

Second equation is

`-2(x+5)=2x-10`

`LHS=-2(x+5)=-2(x)-2(5)=-2x-10`

`RHS=2x-10`

`LHS\\eq RHS`

Option 2 is incorrect.

Third equation is

`-2x-10=-2(x+5)`

`LHS=-2x-10`

`RHS=-2(x+5)=-2(x)-2(5)=-2x-10`

`LHS=RHS`

Option 3 is correct.

Fourth equation is

`-2(x–5)=-2X-10​`

`LHS=-2(x–5)=-2(x)-2(-5)=-2x+10`

`RHS=-2x-10`

`LHS\\eq RHS`

Option 4 is incorrect.

Therefore, the correct option is 3.