Question

From the sum of $3x-y+11$ and $-y-11$, subtract $3x-y-11$.

Answer 1

Express the given statement as an algebraic expression and simplify

Given expressions are:

1. $3x-y+11$
2. $-y-11$
3. $3x-y+11$

The given statement can be algebraically expressed as,

$\left[\left(3x-y+11\right)+\left(-y-11\right)\right]-\left(3x-y+11\right)$

Simplifying

$$\begin{gathered} =\left[\left(3x-y+11\right)+\left(-y-11\right)\right]-\left(3x-y+11\right) \\ =3x-2y-\left(3x-y+11\right) \\ =11-y \end{gathered}$$

Hence, the simplified value of $\left[\left(3x-y+11\right)+\left(-y-11\right)\right]-\left(3x-y+11\right)$ is $-y+11$