- Analyze the equation \(x + 5.98 = 7.21\) to isolate \(x\).
- Subtract \(5.98\) from both sides: \(x = 7.21 - 5.98\).
- Calculate the result: \(x = 1.23\).
- The final answer is \(\boxed{1.23}\).
Explanation
- Analysis of the Equation
We are given a simple linear equation to solve:
\[x + 5.98 = 7.21\]
Our goal is to determine the value of \(x\) that satisfies this equation. The equation represents a relationship where the sum of an unknown value \(x\) and \(5.98\) results in \(7.21\). To find \(x\), we need to isolate it on one side of the equation.
- Solving for x
To isolate \(x\), we subtract \(5.98\) from both sides of the equation:
\[x + 5.98 - 5.98 = 7.21 - 5.98\]
Since \(5.98 - 5.98 = 0\), the left side simplifies to \(x\). Now, we calculate the difference on the right side:
\[x = 7.21 - 5.98\]
Performing the subtraction:
\[7.21 - 5.98 = 1.23\]
Thus, the value of \(x\) is \(1.23\).
Examples
Imagine you have a budget of \(\$7.21\) for lunch. You have already spent \(\$5.98\) on a sandwich, and you want to know how much money remains to buy an apple. By setting up the equation \(x + 5.98 = 7.21\), where \(x\) is the cost of the apple, you can determine that you have \(\$1.23\) left. This simple algebraic process helps in managing everyday finances efficiently.