Respuesta :
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.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{5}{7}=p+\frac{4}{7} \ \Rightarrow \ \ Exercise \ to \ solve. \end{gathered}$}[/tex]
Subtract 4/7 from both sides.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{7}\blue{-\frac{4}{7} }=p+\frac{4}{7}\blue{-\frac{4}{7} } } \end{gathered}$}[/tex]
Simplify
Subtract the numbers
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{1}{7}=p+\frac{4}{7}-\frac{4}{7} } \end{gathered}$}[/tex]
Subtract the numbers
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{1}{7}=p } \end{gathered}$}[/tex]
The variable is moved to the left.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{1}{7} \ \ === > \ \ Answer } \end{gathered}$}[/tex]