Select all of the equations below that are equivalent to: 90 + n = –39 Use properties of equality. Multi-select Choices: (A)90 + n/13 = –5 (B)90 + n/3 = –15 (C)90 + n/13 = –3 (D)90 + n/–3 = 13

Simplify equation to find n: Step 1: Simplify the original equation to find n. Original equation: 90 + n = –39 Subtract 90 from both sides to isolate n: n = –39 - 90 Calculation: n = –129 Check choices with n=-129: Step 2: Check each choice by substituting n = –129 and simplifying. (A) Substitute in 90 + n/13 = –5: 90 + (–129)/13 = –5 Calculation: 90 - 9.923 = –5

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Select all of the equations below that are equivalent to: $\newline$ $90 + n = -39$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $90 + \frac{n}{13} = -5$ $\newline$ (B) $90 + \frac{n}{3} = -15$ $\newline$ (C) $90 + \frac{n}{13} = -3$ $\newline$ (D) $90 + \frac{n}{-3} = 13$

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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

90 + n = -39

\newline

Use properties of equality.

\newline

Multi-select Choices:

\newline

(A)

90 + \frac{n}{13} = -5

\newline

(B)

90 + \frac{n}{3} = -15

\newline

(C)

90 + \frac{n}{13} = -3

\newline

(D)

90 + \frac{n}{-3} = 13

Simplify equation to find $n$ : Step $1$ : Simplify the original equation to find $n$ . $\newline$ Original equation: $90 + n = -39$ $\newline$ Subtract $90$ from both sides to isolate $n$ : $n = -39 - 90$ $\newline$ Calculation: $n = -129$
Check choices with $n=-129$ : Step $2$ : Check each choice by substituting $n = -129$ and simplifying. $\newline$ (A) Substitute in $90 + \frac{n}{13} = -5$ : $90 + (\frac{-129}{13}) = -5$ $\newline$ Calculation: $90 - 9.923 = -5$