Question

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

Answer 1

So what’s the answer

Answer 2

You can only choose one

Answer 3

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

Answer 4

multiply by −12
multiply by negative 12

multiply by 6
multiply by 6

multiply by 12
multiply by 12

divide by 12

Answer 5

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

Answer 6

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

Answer 7

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 \( x \).

Answer 8

In that case, you should choose:

**divide by −6**.

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

Answer 9

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:
\[
x = 6 \times 12 = 72.
\]

Answer 10

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**.

Answer 11

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 \( \frac{2}{5} \):

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

2. **Multiply the fractions**:

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

3. **Simplify the fraction**:

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

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

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