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Determine the first step in solving this equation

5n - 18 = -33

11 answers

To begin solving the equation \( 5n - 18 = -33 \), the first step is to isolate the term with the variable \( n \). You can do this by adding 18 to both sides of the equation.

Here’s how it looks:

\[ 5n - 18 + 18 = -33 + 18 \]

This simplifies to:

\[ 5n = -15 \]

Now you can proceed to solve for \( n \).

answer choices

add 18 to both sides of the equation

add -33 to both sides of the equation

subtract 18 from both sides of the equation

Multiply both sides of the equation by 5

add 5 to both sides of the equation

The correct first step in solving the equation \( 5n - 18 = -33 \) from the answer choices provided is:

add 18 to both sides of the equation.

This will help isolate the term with the variable \( n \).

determine the first step to solve this equation

120 - 8d = 7

To begin solving the equation \( 120 - 8d = 7 \), the first step is to isolate the term with the variable \( d \). You can do this by subtracting 120 from both sides of the equation.

Here’s how it looks:

\[ 120 - 8d - 120 = 7 - 120 \]

This simplifies to:

\[ -8d = -113 \]

Now you can proceed to solve for \( d \).

So, the first step is:

subtract 120 from both sides of the equation.

sort the following equations into one-step and two-step equations.

2x = 16 1/3x + 1 = -2 x - 3 = 5 x/2 = 3 2x - 3 = 5

One-step equation

Two-step equation

Let's sort the given equations into one-step and two-step equations.

One-step equations:

These equations can be solved in a single operation (addition, subtraction, multiplication, or division).

  1. \( 2x = 16 \) (Divide both sides by 2)
  2. \( x/2 = 3 \) (Multiply both sides by 2)

Two-step equations:

These equations require two operations to isolate the variable.

  1. \( 1/3x + 1 = -2 \) (Subtract 1 and then multiply by 3)
  2. \( x - 3 = 5 \) (Add 3 and then solve for \( x \))
  3. \( 2x - 3 = 5 \) (Add 3 and then divide by 2)

Here’s the final sorted list:

One-step equations:

  • \( 2x = 16 \)
  • \( x/2 = 3 \)

Two-step equations:

  • \( 1/3x + 1 = -2 \)
  • \( x - 3 = 5 \)
  • \( 2x - 3 = 5 \)
Match the order of steps to solve the equation

10x - 18 = -2

To solve the equation \( 10x - 18 = -2 \), we can break down the process into clear steps. Here's the order of steps to solve this equation:

Step 1: Add 18 to both sides

This will isolate the term with \( x \).

\[ 10x - 18 + 18 = -2 + 18 \]

This simplifies to:

\[ 10x = 16 \]

Step 2: Divide both sides by 10

Now, we isolate \( x \) by dividing both sides by 10.

\[ \frac{10x}{10} = \frac{16}{10} \]

This simplifies to:

\[ x = \frac{8}{5} \quad \text{or} \quad x = 1.6 \]

Summary of Steps

  1. Add 18 to both sides.
  2. Divide both sides by 10.

This leads to the final solution \( x = \frac{8}{5} \) or \( x = 1.6 \). If you need a more detailed explanation or different formatting, please let me know!

The equation -3x - 9 = -21 is solved as follows. Enter the correct numbers to complete the solution.

-3x - 9 = -21

-3x = blank Add 9 to both sides of the equation

x = blank Divide both sides of the equation by -3. if the answer is an improper fraction, enter the improper fraction

To solve the equation \(-3x - 9 = -21\), let's complete the solution step by step.

  1. Starting with the equation: \[ -3x - 9 = -21 \]

  2. Add 9 to both sides:
    \[ -3x - 9 + 9 = -21 + 9 \] Which simplifies to: \[ -3x = -12 \]

  3. Now we can fill in the first blank:
    The first blank is -12.

  4. Next, divide both sides by -3:
    \[ x = \frac{-12}{-3} \] Which simplifies to: \[ x = 4 \]

  5. Now we can fill in the second blank:
    The second blank is 4.

So the completed solution is:

  • -3x - 9 = -21

  • -3x = -12 (Add 9 to both sides of the equation)

  • x = 4 (Divide both sides of the equation by -3)