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In the equation z/6 =

36, what is the next step in the equation solving sequence?
Isolate the variable
using inverse operations.
Combine like terms.
Identify and move the coefficient and variable.
Move all numbers without a variable.

2 Answers

4 votes

Answer:

First option: Isolate the variable using inverse operations

Explanation:

z/6 = 36

Since we already have the equation set up and cannot simplify any further, we must try to isolate the variable, z, by using inverse operations.

The inverse operation of division is multiplication, so to isolate z, we multiply 6 on each side:

z/6 · 6 = 36 · 6

z = 216

User Matthijs P
by
4.3k points
3 votes

Hi there!

»»————- ★ ————-««

I believe your answer is:

"Isolate the variable using inverse operations."

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Here’s why:

To solve for a variable, we would have to isolate it on one side.

To isolate it, we would use inverse operations on both sides on the equation until the variable is isolated.

There are no like terms in the given equation.

⸻⸻⸻⸻


\boxed{\text{Solving for 'z'...}}\\\\(z)/(6) = 36\\-------------\\\rightarrow ((z)/(6))6 = (36)6\\\\\rightarrow \boxed{z = 216}

⸻⸻⸻⸻

»»————- ★ ————-««

Hope this helps you. I apologize if it’s incorrect.

User Anand Khanpara
by
4.5k points