Question

Drag the explanations used to solve the given equation in the correct sequence.5/6=9)=125

Answer 1

Divide by 6, add 9, divide by 5, subtract 9: x = -3.04.

The image shows a drag-and-drop question with the following instructions:

Drag the explanations used to solve the given equation in the correct sequence. Not all tiles will be used.

The equation is:

"5(659) = 125"

The answer choices are:

Divide each side by 6

Add 9 to each side

Divide each side by 5

Subtract 9 from each side

Equate the exponents of the equation

Rewrite 125 as a power of 5

The correct order of the steps to solve the equation is:

1. Divide each side by 6

2. Add 9 to each side

3. Divide each side by 5

4. Subtract 9 from each side

To solve the equation, we can use the following steps:

1. Divide each side by 6.

5(659) = 125

------- /6

5(109.83) = 125 / 6

5x = 20.83

2. Add 9 to each side.

5x = 20.83

+9 +9

5x = 20.83 + 9

5x = 29.83

3. Divide each side by 5.

5x = 29.83

------- /5

x = 29.83 / 5

x = 5.96

4. Subtract 9 from each side.

x = 5.96

-9 -9

x = 5.96 - 9

x = -3.04

Therefore, the solution to the equation is x = -3.04.

Answer 2

Given the equation:

`5^((6x-9))=125`

Let's solve the equation step by step by step, then drag the explanations used to solve the given equation in the correct sequence.

• Step 1:

Rewrite 125 as a power of 5

`5^((6x-9))=5^3`

• Step 2:

Divide each side by 5

`\begin{gathered} (5^((6x-9)))/(5)=(5^3)/(5) \\ \\ 1^((6x-9))=1^3 \end{gathered}`

• Step 3:

Since the exponents are equivalent, equate the exponents of the equation:

`6x-9=3`

• Step 4:

Add 9 to each side of the equation.