QuestionSolve $|5 x|=70$ . What are the possible values of $x$ ?

Studdy Solution

STEP 1

Assumptions1. The absolute value of a number is its distance from zero on the number line, and is always non-negative. . The equation to solve is $|5x| =70$ .

STEP 2

The absolute value equation $|5x| =70$ can be rewritten as two separate equations $5x =70$ and $5x = -70$ .

STEP 3

Let's solve the first equation $5x =70$ .

STEP 4

To isolate $x$ , we divide both sides of the equation by.
$x = \frac{70}{}$

STEP 5

Calculate the value of $x$ .
$x = \frac{70}{5} =14$

STEP 6

Now, let's solve the second equation $5x = -70$ .

STEP 7

To isolate $x$ , we divide both sides of the equation by5.
$x = \frac{-70}{5}$

STEP 8

Calculate the value of $x$ .
$x = \frac{-70}{5} = -14$ The solutions to the equation $|5x| =70$ are $x =14$ and $x = -14$ .

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QuestionSolve $|5 x|=70$ . What are the possible values of $x$ ?

Studdy Solution

STEP 1

Assumptions1. The absolute value of a number is its distance from zero on the number line, and is always non-negative. . The equation to solve is $|5x| =70$ .

STEP 2

The absolute value equation $|5x| =70$ can be rewritten as two separate equations $5x =70$ and $5x = -70$ .

STEP 3

Let's solve the first equation $5x =70$ .

STEP 4

To isolate $x$ , we divide both sides of the equation by.
$x = \frac{70}{}$

STEP 5

Calculate the value of $x$ .
$x = \frac{70}{5} =14$

STEP 6

Now, let's solve the second equation $5x = -70$ .

STEP 7

To isolate $x$ , we divide both sides of the equation by5.
$x = \frac{-70}{5}$

STEP 8

Calculate the value of $x$ .
$x = \frac{-70}{5} = -14$ The solutions to the equation $|5x| =70$ are $x =14$ and $x = -14$ .

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QuestionSolve ∣5x∣=70|5 x|=70∣5x∣=70. What are the possible values of xxx?

Studdy Solution

STEP 1

Assumptions1. The absolute value of a number is its distance from zero on the number line, and is always non-negative. . The equation to solve is ∣5x∣=70|5x| =70∣5x∣=70.

STEP 2

The absolute value equation ∣5x∣=70|5x| =70∣5x∣=70 can be rewritten as two separate equations 5x=705x =705x=70 and 5x=−705x = -705x=−70.

STEP 3

Let's solve the first equation 5x=705x =705x=70.

STEP 4

To isolate xxx, we divide both sides of the equation by.x=70x = \frac{70}{}x=70​

STEP 5

Calculate the value of xxx.x=705=14x = \frac{70}{5} =14x=570​=14

STEP 6

Now, let's solve the second equation 5x=−705x = -705x=−70.

STEP 7

To isolate xxx, we divide both sides of the equation by5.x=−705x = \frac{-70}{5}x=5−70​

STEP 8

Calculate the value of xxx.x=−705=−14x = \frac{-70}{5} = -14x=5−70​=−14The solutions to the equation ∣5x∣=70|5x| =70∣5x∣=70 are x=14x =14x=14 and x=−14x = -14x=−14.

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QuestionSolve $|5 x|=70$ . What are the possible values of $x$ ?

Assumptions1. The absolute value of a number is its distance from zero on the number line, and is always non-negative. . The equation to solve is $|5x| =70$ .

The absolute value equation $|5x| =70$ can be rewritten as two separate equations $5x =70$ and $5x = -70$ .

Let's solve the first equation $5x =70$ .

To isolate $x$ , we divide both sides of the equation by.
$x = \frac{70}{}$

Calculate the value of $x$ .
$x = \frac{70}{5} =14$

Now, let's solve the second equation $5x = -70$ .

To isolate $x$ , we divide both sides of the equation by5.
$x = \frac{-70}{5}$

Calculate the value of $x$ .
$x = \frac{-70}{5} = -14$ The solutions to the equation $|5x| =70$ are $x =14$ and $x = -14$ .