Linear equations
The graphical representation of a linear equation is a straight line.
To solve linear equations, it is important to keep in mind the following key concepts:
- Maintain the balance of the equation by applying the same operations to both sides of the equation.
- Clear the variable by grouping like terms.
- Use inverse operations to order the equation.
![\large\displaystyle\text{$\begin{gathered}\sf (5)/(7)=p+(4)/(7) \ \Rightarrow \ \ Exercise \ to \ solve. \end{gathered}$}](https://img.qammunity.org/2023/formulas/mathematics/college/8jhuabpw4hc3m4ywa9gq555gj57y3bpt4q.png)
Subtract 4/7 from both sides.
![\large\displaystyle\text{$\begin{gathered}\sf \bf{(5)/(7)\blue{-(4)/(7) }=p+(4)/(7)\blue{-(4)/(7) } } \end{gathered}$}](https://img.qammunity.org/2023/formulas/mathematics/college/7trxfchz4ut51w89yqk6eq5olu657urfs8.png)
Simplify
Subtract the numbers
![\large\displaystyle\text{$\begin{gathered}\sf \bf{(1)/(7)=p+(4)/(7)-(4)/(7) } \end{gathered}$}](https://img.qammunity.org/2023/formulas/mathematics/college/dci40z9xg37rhjahl6yogkhaasfv397ugc.png)
Subtract the numbers
![\large\displaystyle\text{$\begin{gathered}\sf \bf{(1)/(7)=p } \end{gathered}$}](https://img.qammunity.org/2023/formulas/mathematics/college/1w02drk6dp0i4w9l2weu2dvybq3qa30kvr.png)
The variable is moved to the left.
![\large\displaystyle\text{$\begin{gathered}\sf \bf{p=(1)/(7) \ \ === > \ \ Answer } \end{gathered}$}](https://img.qammunity.org/2023/formulas/mathematics/college/z8onkvyoyi85epp6o4y5vg6y1l9izdror3.png)