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Is $s = -3$ a solution to this equation? $\newline$ $2 - s = 5$ $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does x satisfy an equation?

Full solution

Q. Is

s = -3

a solution to this equation?

\newline

2 - s = 5

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Substitute Value: We are given $s = -3$ . Let's substitute this value into the equation $2 - s = 5$ . $\newline$ $2 - s = 5$ $\newline$ Substitute $s$ with $-3$ . $\newline$ $2 - (-3) = 5$
Calculate Result: Calculate what is $2$ minus ( $–3$ ). $\newline$ $2 − (–3) = 2 + 3$ $\newline$ $2 + 3 = 5$
Verify Solution: The equation $2 - s = 5$ now becomes $5 = 5$ after the substitution. $\newline$ Compare the values on both sides of the equation. $\newline$ Is $s = -3$ a solution to the equation $2 - s = 5$ ? $\newline$ After substituting $s = -3$ , we see that both sides of the equation are equal: $\newline$ $5 = 5$ $\newline$ Thus, $s = -3$ is a solution to the equation $2 - s = 5$ .

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