Question What is the first step in solving this equation: 13x=−9

Multiply each side by -9
Divide each side by 3
Divide each side by 1/3
Multiply each side by 1/3

9 answers

The first step in solving the equation \( 13x = -9 \) is to isolate the variable \( x \). To do this, you should divide each side by 13.

However, from the options you provided, none of them directly suggest dividing each side by 13. Instead, let's clarify the steps:

  1. Divide each side by 13, which would give you \( x = \frac{-9}{13} \).

If none of the options provided are correct, the correct first step should be to divide by 13, and that step would lead you to the solution.

If forced to choose one of the options you've provided, none directly apply to the correct initial step required to solve the equation.

Question What is the first step in solving this equation: 1/3x=−9
Multiply each side by -9
Divide each side by 3
Divide each side by 1/3
Multiply each side by 1/3

To solve the equation \( \frac{1}{3}x = -9 \), the goal is to isolate \( x \). The best first step from the options provided would be to eliminate the fraction by multiplying each side by 3.

However, since that option isn't explicitly listed, let's examine the provided options:

  1. Multiply each side by -9 - This would not be useful or correct for isolating \( x \).
  2. Divide each side by 3 - This is not the correct step; it would not isolate \( x \).
  3. Divide each side by 1/3 - This would actually be an effective step because dividing by a fraction is equivalent to multiplying by its reciprocal. In this case, dividing by \( \frac{1}{3} \) would be the right move.
  4. Multiply each side by 1/3 - This would further complicate the equation since \( \frac{1}{3}x \) would become \( \frac{1}{3}\cdot\frac{1}{3}x\).

Therefore, the optimal first step (if you were to select from the options given) would be "Divide each side by 1/3". This would isolate \( x \) correctly:

\[ x = -9 \div \frac{1}{3} = -9 \times 3 = -27 \]

So, in summary, you should choose "Divide each side by 1/3" as the first step.

Solve the equation using inverse operations. 1/3x=−9
x=_

To solve the equation \(\frac{1}{3}x = -9\) using inverse operations, follow these steps:

  1. Multiply each side by 3 to eliminate the fraction:

\[ 3 \cdot \frac{1}{3}x = -9 \cdot 3 \]

This simplifies to:

\[ x = -27 \]

So, the solution is:

\[ x = -27 \]

Solve using inverse operations. n/4=12
n=_

To solve the equation \(\frac{n}{4} = 12\) using inverse operations, follow these steps:

  1. Multiply both sides by 4 to eliminate the fraction:

\[ 4 \cdot \frac{n}{4} = 12 \cdot 4 \]

This simplifies to:

\[ n = 48 \]

So, the solution is:

\[ n = 48 \]

Reagan is 3.5 inches shorter than Cassidy. If Reagan is 39 inches tall, which equation could you use to find Cassidy's height?
c - 3.5 = 39
39 - 3.5 = c
39 - c = 3.5
3.5 - c = 39

To find Cassidy's height based on the information given, we know that Reagan is 3.5 inches shorter than Cassidy, and we can express this relationship with an equation.

Let \( c \) represent Cassidy's height. Since Reagan is 3.5 inches shorter than Cassidy, we can write the equation:

\[ c - 3.5 = 39 \]

This equation means that if you take Cassidy's height (c) and subtract 3.5 inches, you will get Reagan's height, which is 39 inches tall.

Thus, the correct equation to use to find Cassidy's height is:

\( c - 3.5 = 39 \).