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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]