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 divide by −6 divide by negative 6 add 6 add 6 multiply by −6 multiply by negative 6 divide by 6 divide by 6 Skip to navigation


Which of the following should be done to both sides of the equation x/12=6 to solve the value of x ?(1 point) Responses multiply by −12 multiply by negative 12 divide by 12 divide by 12 multiply by 12 multiply by 12 multiply by 6


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



What is the solution of the equation −x/2.9=−3 ?(1 point)



What is the solution of the equation 8/5x = −10 ?(1 point)

Answer 1

Let's go through each of your questions one by one:

1. **Which of the following should be done to both sides of the equation −6x = 48 to solve the value of x?**
- The correct operation to isolate \(x\) is to **divide by −6**.
- Answer: **divide by −6.**

2. **Which of the following should be done to both sides of the equation x/12 = 6 to solve the value of x?**
- To isolate \(x\), you should **multiply by 12** on both sides.
- Answer: **multiply by 12.**

3. **What is the solution of the equation 5/2x = −1/8?**
- To solve for \(x\):
\[
5/2x = -1/8
\]
Multiply both sides by \(2/5\) to isolate \(x\):
\[
x = -1/8 \cdot 2/5 = -2/40 = -1/20
\]
- Answer: \(x = -\frac{1}{20}\).

4. **What is the solution of the equation −x/2.9 = −3?**
- To solve for \(x\):
\[
-\frac{x}{2.9} = -3
\]
Multiply both sides by \(-1\):
\[
\frac{x}{2.9} = 3
\]
Then multiply both sides by \(2.9\):
\[
x = 3 \cdot 2.9 = 8.7
\]
- Answer: \(x = 8.7\).

5. **What is the solution of the equation 8/5x = −10?**
- To solve for \(x\):
\[
\frac{8}{5}x = -10
\]
Multiply both sides by \(\frac{5}{8}\) to isolate \(x\):
\[
x = -10 \cdot \frac{5}{8} = -\frac{50}{8} = -\frac{25}{4} = -6.25
\]
- Answer: \(x = -6.25\) or \(x = -\frac{25}{4}\).

In summary:
1. Divide by −6.
2. Multiply by 12.
3. \(x = -\frac{1}{20}\).
4. \(x = 8.7\).
5. \(x = -6.25\) (or \(x = -\frac{25}{4}\)).