Question

identify the equation as a conditional equation, a contradiction, or an identity. then gi\\(-3 + 2n = 2(n - 7) + 11\\)\
part: 0 / 2\
part 1 of 2\
the equation is\
\\(\circ\\) a conditional equation.\
\\(\circ\\) a contradiction.\
\\(\circ\\) an identity.

Explanation:

Step1: Simplify the right - hand side

First, we use the distributive property \(a(b + c)=ab+ac\) on the right - hand side of the equation \(-3 + 2n=2(n - 7)+11\).
For \(2(n - 7)\), we have \(2\times n-2\times7 = 2n-14\).
So the right - hand side becomes \(2n-14 + 11\).
Then we combine like terms: \(2n-14 + 11=2n-3\).

Step2: Compare both sides

The left - hand side of the equation is \(-3 + 2n\) (which is the same as \(2n-3\)) and the right - hand side after simplification is also \(2n-3\).
An identity is an equation that is true for all values of the variable. Since the left - hand side and the right - hand side of the equation \(-3 + 2n=2(n - 7)+11\) are equal for all values of \(n\), the equation is an identity.

Answer:

an identity.