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Is $g = 66$ a solution to this equation? $\newline$ $12 = \frac{g}{6}$ $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does x satisfy an equation?

Full solution

Q. Is

g = 66

a solution to this equation?

\newline

12 = \frac{g}{6}

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Substitute $g$ in equation: We are given $g = 66$ . Let's substitute the value for $g$ in the equation $12 = \frac{g}{6}$ .
$12 = \frac{g}{6}$
Substitute $g$ with $66$ .
$12 = \frac{66}{6}$
Calculate division result: Calculate what is $66$ divided by $6$ . $\newline$ $66 / 6 = 11$
Compare values and solution: The equation $12 = \frac{g}{6}$ now becomes $12 = 11$ after the substitution. $\newline$ Compare the values on both sides of the equation. $\newline$ Is $g = 66$ a solution to the equation $12 = \frac{g}{6}$ ? $\newline$ After substituting $g = 66$ , we find that the two sides of the equation are not equal: $\newline$ $12 \neq 11$ $\newline$ Thus, $g = 66$ is not a solution to the equation $12 = \frac{g}{6}$ .

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