QuestionWhat operation isolates $x$ in $8 x=72$ ? Options: A. +8 B. $\times \frac{1}{8}$ C. ÷8 D. ÷72 E. ÷ $8x$ F. $\times$ 8 G. - $8x$ . Also, solve $8x=72$ : $x=$ help (numbers).

Studdy Solution

STEP 1

Assumptions1. The equation is $8x =72$ . We need to isolate the variable $x$ on one side of the equation3. We can use any mathematical operation that doesn't violate the rules of algebra

STEP 2

To isolate the variable $x$ on one side of the equation, we need to undo the operation that is being applied to $x$ in the equation. In this case, $x$ is being multiplied by8.

STEP 3

The operation that undoes multiplication is division. Therefore, we need to divide both sides of the equation by8.
$\frac{8x}{8} = \frac{72}{8}$ This corresponds to option C Dividing by8.

STEP 4

Another way to isolate $x$ is by multiplying both sides of the equation by the reciprocal of8, which is $\frac{1}{8}$ .
$\frac{1}{8} \times8x = \frac{1}{8} \times72$ This corresponds to option B Multiplying by $\frac{1}{8}$ .

STEP 5

Now, let's solve the equation $8x =72$ by dividing both sides by8.
$x = \frac{72}{8}$

STEP 6

Calculate the value of $x$ .
$x = \frac{72}{8} =9$ The solution of the equation $8x =72$ is $x =9$ .

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QuestionWhat operation isolates $x$ in $8 x=72$ ? Options: A. +8 B. $\times \frac{1}{8}$ C. ÷8 D. ÷72 E. ÷ $8x$ F. $\times$ 8 G. - $8x$ . Also, solve $8x=72$ : $x=$ help (numbers).

Studdy Solution

STEP 1

Assumptions1. The equation is $8x =72$ . We need to isolate the variable $x$ on one side of the equation3. We can use any mathematical operation that doesn't violate the rules of algebra

STEP 2

To isolate the variable $x$ on one side of the equation, we need to undo the operation that is being applied to $x$ in the equation. In this case, $x$ is being multiplied by8.

STEP 3

The operation that undoes multiplication is division. Therefore, we need to divide both sides of the equation by8.
$\frac{8x}{8} = \frac{72}{8}$ This corresponds to option C Dividing by8.

STEP 4

Another way to isolate $x$ is by multiplying both sides of the equation by the reciprocal of8, which is $\frac{1}{8}$ .
$\frac{1}{8} \times8x = \frac{1}{8} \times72$ This corresponds to option B Multiplying by $\frac{1}{8}$ .

STEP 5

Now, let's solve the equation $8x =72$ by dividing both sides by8.
$x = \frac{72}{8}$

STEP 6

Calculate the value of $x$ .
$x = \frac{72}{8} =9$ The solution of the equation $8x =72$ is $x =9$ .

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QuestionWhat operation isolates xxx in 8x=728 x=728x=72? Options: A. +8 B. ×18\times \frac{1}{8}×81​ C. ÷8 D. ÷72 E. ÷8x8x8x F. ×\times×8 G. -8x8x8x. Also, solve 8x=728x=728x=72: x=x=x= help (numbers).

Studdy Solution

STEP 1

Assumptions1. The equation is 8x=728x =728x=72 . We need to isolate the variable xxx on one side of the equation3. We can use any mathematical operation that doesn't violate the rules of algebra

STEP 2

To isolate the variable xxx on one side of the equation, we need to undo the operation that is being applied to xxx in the equation. In this case, xxx is being multiplied by8.

STEP 3

The operation that undoes multiplication is division. Therefore, we need to divide both sides of the equation by8.8x8=728\frac{8x}{8} = \frac{72}{8}88x​=872​This corresponds to option C Dividing by8.

STEP 4

Another way to isolate xxx is by multiplying both sides of the equation by the reciprocal of8, which is 18\frac{1}{8}81​.18×8x=18×72\frac{1}{8} \times8x = \frac{1}{8} \times7281​×8x=81​×72This corresponds to option B Multiplying by 18\frac{1}{8}81​.

STEP 5

Now, let's solve the equation 8x=728x =728x=72 by dividing both sides by8.x=728x = \frac{72}{8}x=872​

STEP 6

Calculate the value of xxx.x=728=9x = \frac{72}{8} =9x=872​=9The solution of the equation 8x=728x =728x=72 is x=9x =9x=9.

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QuestionWhat operation isolates $x$ in $8 x=72$ ? Options: A. +8 B. $\times \frac{1}{8}$ C. ÷8 D. ÷72 E. ÷ $8x$ F. $\times$ 8 G. - $8x$ . Also, solve $8x=72$ : $x=$ help (numbers).

Assumptions1. The equation is $8x =72$ . We need to isolate the variable $x$ on one side of the equation3. We can use any mathematical operation that doesn't violate the rules of algebra

To isolate the variable $x$ on one side of the equation, we need to undo the operation that is being applied to $x$ in the equation. In this case, $x$ is being multiplied by8.

The operation that undoes multiplication is division. Therefore, we need to divide both sides of the equation by8.
$\frac{8x}{8} = \frac{72}{8}$ This corresponds to option C Dividing by8.

Another way to isolate $x$ is by multiplying both sides of the equation by the reciprocal of8, which is $\frac{1}{8}$ .
$\frac{1}{8} \times8x = \frac{1}{8} \times72$ This corresponds to option B Multiplying by $\frac{1}{8}$ .

Now, let's solve the equation $8x =72$ by dividing both sides by8.
$x = \frac{72}{8}$

Calculate the value of $x$ .
$x = \frac{72}{8} =9$ The solution of the equation $8x =72$ is $x =9$ .