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Is $w = 78$ a solution to this equation? $\newline$ $0 = \frac{w}{78}$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does x satisfy an equation?

Full solution

Q. Is

w = 78

a solution to this equation?

\newline

0 = \frac{w}{78}

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute value in equation: We are given $w = 78$ . Let's substitute the value for $w$ in the equation $0 = \frac{w}{78}$ . $\newline$ $0 = \frac{w}{78}$ $\newline$ Substitute $w$ with $78$ . $\newline$ $0 = \frac{78}{78}$
Calculate division: Calculate $78$ divided by $78$ . $\newline$ $\frac{78}{78} = 1$
Compare values and solution: The equation $0 = \frac{w}{78}$ now becomes $0 = 1$ after the substitution. $\newline$ Compare the values on both sides of the equation. $\newline$ Is $w = 78$ a solution to the equation $0 = \frac{w}{78}$ ? $\newline$ After substituting $w = 78$ , we see that the left side of the equation is $0$ , and the right side is $1$ , which are not equal: $\newline$ $0 \neq 1$ $\newline$ Thus, $w = 78$ is not a solution to the equation $0 = \frac{w}{78}$ .

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