Which of the following should be done to both sides of the equation −6x=4/8 to solve the value of x ?

divide by 6
add 6
divide by −6
multiply by −6

11 answers

To solve the equation \(-6x = \frac{4}{8}\) for \(x\), you want to isolate \(x\).

To do this, you should divide both sides of the equation by \(-6\).

So the correct operation to perform on both sides is:

divide by −6

Therefore, the equation would look like this:

\[ x = \frac{4/8}{-6} \]

Then you can simplify \(4/8\) to \(1/2\), and continue from there.

Which of the following should be done to both sides of the equation x12=6 to solve the value of x?
multiply by 6
multiply by 12
divide by 12
multiply by −12

To solve the equation \(x \cdot 12 = 6\) for \(x\), you want to isolate \(x\).

To do this, you should divide both sides of the equation by \(12\).

So the correct operation is:

divide by 12

The equation would look like this:

\[ x = \frac{6}{12} \]

Then you can simplify \(\frac{6}{12}\) to \(\frac{1}{2}\), giving you \(x = \frac{1}{2}\).

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

To solve the equation \(\frac{x}{12} = 6\) for \(x\), you want to isolate \(x\).

To do this, you should multiply both sides of the equation by \(12\).

So the correct operation is:

multiply by 12

The equation would look like this:

\[ x = 6 \cdot 12 \]

Solving that gives you:

\[ x = 72 \]

Therefore, the answer is to multiply by 12.

What is the solution of the equation 5/2x = −1/8?
−5/16
−1/20
−20

To solve the equation \(\frac{5}{2}x = -\frac{1}{8}\), you can start by isolating \(x\).

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

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

  1. Now, multiply the fractions:

\[ x = -\frac{2}{40} \]

  1. Simplify the fraction:

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

So, the solution is:

\[ \boxed{-\frac{1}{20}} \]

Thus, the correct answer from the options given is −1/20.

What is the solution of the equation 52x = −18?
−5/16
−1/20
1/20
−20

To solve the equation \(52x = -18\), follow these steps:

  1. Isolate \(x\) by dividing both sides of the equation by \(52\): \[ x = \frac{-18}{52} \]

  2. Simplify the fraction: \[ x = \frac{-9}{26} \]

Now, let's check the options you provided:

  • \(-5/16\)
  • \(-1/20\)
  • \(1/20\)
  • \(-20\)

The solution \( \frac{-9}{26} \) does not match any of the provided options directly.

Therefore, none of the options are correct for the equation \(52x = -18\). The correct answer is \(-\frac{9}{26}\).

If you have different options or need further assistance, please let me know!

What is the solution of the equation 5/2x = −1/8?
−5/16
−1/20
1/20
−20

To solve the equation \(\frac{5}{2}x = -\frac{1}{8}\), we need to isolate \(x\). Here are the steps:

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

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

  1. Now, multiply the fractions:

\[ x = -\frac{2}{40} \]

  1. Simplify the fraction:

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

So, the solution is:

\[ \boxed{-\frac{1}{20}} \]

From the options you provided, the correct answer is −1/20.

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