Select all of the equations below that are equivalent to: –38n = 92 Use properties of equality. Multi-select Choices: (A)–38n/–23 = –4 (B)–38n/23 = 4 (C)19n = 92/–2 (D)–38n/23 = 2

Analyze choice (A): First, let's analyze choice (A) –38n/–23 = –4. To check if this equation is equivalent to –38n = 92, we can multiply both sides of the equation –38n/–23 = –4 by –23 to see if we get –38n = 92. –38n/–23 * (–23) = –4 * (–23) –38n = 92 This shows that choice (A) is equivalent to the original equation.Check equivalence for choice (A): Now, let's analyze choice (B) –38n/23 = 4. To check if this equation is equivalent to –38n = 92, we can multiply both sides of the equation –38n/23 = 4 by 23 to see if we get –38n = 92. –38n/23 * 23 = 4 * 23 –38n = 92 This shows that choice (B) is not equivalent to the original equation because the sign on the right side does not match; it should be negative.

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Select all of the equations below that are equivalent to: $\newline$ $-38n = 92$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $-\frac{38n}{-23} = -4$ $\newline$ (B) $-\frac{38n}{23} = 4$ $\newline$ (C) $19n = \frac{92}{-2}$ $\newline$ (D) $-\frac{38n}{23} = 2$

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Math Problems

Algebra 1

Identify equivalent equations

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Q. Select all of the equations below that are equivalent to:

\newline

-38n = 92

\newline

Use properties of equality.

\newline

Multi-select Choices:

\newline

(A)

-\frac{38n}{-23} = -4

\newline

(B)

-\frac{38n}{23} = 4

\newline

(C)

19n = \frac{92}{-2}

\newline

(D)

-\frac{38n}{23} = 2

Analyze choice (A): First, let's analyze choice (A) $\frac{-38n}{-23} = -4$ . To check if this equation is equivalent to $-38n = 92$ , we can multiply both sides of the equation $\frac{-38n}{-23} = -4$ by $-23$ to see if we get $-38n = 92$ . $\frac{-38n}{-23} \times (-23) = -4 \times (-23)$ $-38n = 92$ This shows that choice (A) is equivalent to the original equation.
Check equivalence for choice (A): Now, let's analyze choice (B) $\frac{-38n}{23} = 4$ . To check if this equation is equivalent to $-38n = 92$ , we can multiply both sides of the equation $\frac{-38n}{23} = 4$ by $23$ to see if we get $-38n = 92$ . $\frac{-38n}{23} \times 23 = 4 \times 23$ $-38n = 92$ This shows that choice (B) is not equivalent to the original equation because the sign on the right side does not match; it should be negative.