Which of the following should be done to both sides of the equation −6x=48 to solve the value of x ?(1 point)

Responses

multiply by −6
multiply by negative 6

add 6
add 6

divide by −6
divide by negative 6

divide by 6

11 answers

To solve the equation \( -6x = 48 \) for \( x \), you need to isolate \( x \) by dividing both sides by \( -6 \).

Therefore, you should choose:

divide by −6 or divide by negative 6 (both options are correct).

This yields: \[ x = \frac{48}{-6} = -8 \]

So what’s the answer

The correct answer is:

divide by −6 or divide by negative 6 (both are equivalent and correct).

You need to do this to both sides of the equation \( -6x = 48 \) to solve for \( x \).

You can only choose one

In that case, you should choose:

divide by −6.

This option directly indicates the operation needed to solve for \( x \) in the equation \( -6x = 48 \).

Which of the following should be done to both sides of the equation  x/12=6 to solve the value of x ?

To solve the equation \( \frac{x}{12} = 6 \) for \( x \), you need to isolate \( x \) by multiplying both sides by 12.

So the correct operation would be:

multiply both sides by 12.

This gives you: \[ x = 6 \times 12 = 72. \]

multiply by −12
multiply by negative 12

multiply by 6
multiply by 6

multiply by 12
multiply by 12

divide by 12

To solve the equation \( \frac{x}{12} = 6 \), you would:

multiply by 12.

This will give you the correct solution for \( x \).

So, the answer is:

multiply by 12.

What is the solution of the equation  5/2x = −1/8 ?

To solve the equation \( \frac{5}{2}x = -\frac{1}{8} \), you can follow these steps:

  1. Multiply both sides by the reciprocal of \( \frac{5}{2} \), which is \( \frac{2}{5} \):

\[ x = -\frac{1}{8} \cdot \frac{2}{5} \]

  1. Multiply the fractions:

\[ x = -\frac{1 \times 2}{8 \times 5} = -\frac{2}{40} \]

  1. Simplify the fraction:

\[ x = -\frac{1}{20} \]

So, the solution to the equation \( \frac{5}{2}x = -\frac{1}{8} \) is

\[ x = -\frac{1}{20}. \]