Examples of Linear Equations:
$5=-x+3$
$3(-3x-4)=-5(5x-1)$
$3x+2=-x+4$
Solutions to Linear Equations.
Example: Verify that $x=\frac{1}{2}$ is a solution to the linear equation $3x+2=-x+4$
Solving Linear Equations. Method 1: Algebraically.
Example: Solve the linear equation $3x+2=-x+4$ algebraically.
Solving Linear Equations. Method 2: Graphically.
Example: Solve the linear equation $3x+2=-x+4$ graphically.
Solving Linear Equations. Method 3: Tables.
Example: Solve the linear equation $3x+2=-x+4$ using a table.
$$ \begin{array}{c|c|c} x & y_1=3x+2 & y_2=-x+4\\ \hline -1 & -1 & 5\\ \hline -0.5 & 0.5 & 4.5\\ \hline 0 & 2 & 4 \\ \hline 0.5 & 3.5 & 3.5\\ \hline 1 & 5 & 3 \\ \hline \end{array} $$
Geometry:
A Word Problem. Four times the sum of a number and eleven is equal to three times the difference of the number and five.