91Ó°ÊÓ

In any equation, the goal is to determine the value of one or more variables. To simplify this process, we first aim to `isolate the variable`. This means adjusting the equation so that the variable we're solving for stands alone on one side of the equation.
Imagine having the equation like a balanced scale. Whatever you do to one side, you must do to the other to keep it balanced.
For our exercise, we start with the equation: \[9.7 = x + 11.6\].
Our target is to have \(x\) alone on one side. To do this, we need to remove the \(11.6\) that's currently added to \(x\).
- Identify terms that need to be moved - Perform the opposite operation to remove them from one side By removing these terms, we bring the variable into focus, making it easier to solve.

Once we've isolated the variable, the next step is to `perform arithmetic` to solve for it. Arithmetic provides the tools needed to transform the equation. In this case, it involves straightforward subtraction.
After isolating \(x\) from the equation: \[9.7 - 11.6 = x\].
We need to perform the necessary arithmetic operation: subtraction. This step is crucial because it gives you the actual numerical value of the variable.
- Make sure you have the correct operation identified- Carefully perform each operation step-by-step
It is essential to be thorough here, as even simple arithmetic can lead to errors if done hastily.

`Subtraction in equations` involves removing a number from both sides of the equation to either eliminate terms or consolidate them. In this particular exercise, subtraction helps in clearing additional numbers affecting the variable's isolation.
For instance, from \[9.7 = x + 11.6\], we subtract \(11.6\) from both sides:\[9.7 - 11.6 = x\].
Why is subtraction important? - Subtraction allows us to maintain the balance of the equation - It lets us shift terms from one side to the other effectively Through subtraction, we arrive at the simplified form of the equation: \(x = -1.9\). This highlights its role as a fundamental operation in solving linear equations efficiently.