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Is $n = 1$ a solution to this equation? $\newline$ $11 - n = 5$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does x satisfy an equation?

Full solution

Q. Is

n = 1

a solution to this equation?

\newline

11 - n = 5

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute $n$ in equation: We are given $n = 1$ . Let's substitute the value for $n$ in the equation $11 − n = 5$ . $\newline$ $11 − n = 5$ $\newline$ Substitute $n$ with $1$ . $\newline$ $11 − 1 = 5$
Calculate $11$ minus $1$ : Calculate what is $11$ minus $1$ . $\newline$ $11 − 1 = 10$
Compare results and solution: Compare the result from Step $2$ with the right side of the equation. $\newline$ The equation $11 - n = 5$ now becomes $10 = 5$ after substituting $n = 1$ . $\newline$ Compare the values on both sides of the equation. $\newline$ Is $n = 1$ a solution to the equation $11 - n = 5$ ? $\newline$ After substituting $n = 1$ , we see that both sides of the equation are not equal: $\newline$ $10 \neq 5$ $\newline$ Thus, $n = 1$ is not a solution to the equation $11 - n = 5$ .

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