Solving linear equations
One variable
The solution of linear equations with one variable is any number $x$ that satisfies the equation.
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Tip
The solution of a linear equation can be found out by trial and error. Simply use the value with which the equation is "true".
Example
Given is a linear equation
$x-8=8$Use appropriate value
$x=16$$16-8=8$
$8=8$
If you use 16 for $x$ , the equation is true.
Computationally one can solve a linear equation with an equivalent transformation.
Two variables
The solution of linear equations with two variables is every value pair $x|y$ that satisfies the equation.
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Tip
The solution of a linear equation with two variables can be found out by trial and error. Simply use two values with which the equation is "true".
Example
Given is a linear equation with two variables
$x+y=6$Use appropriate values
e. g. $x=4$ and $y=2$$4+2=6$
$6=6$ true
If one uses for $x$ 4 and $y$ 2, the equation is satisfied. The value pair $4|2$ is a solution.
But: There are endless possibilities for $x$ and $y$.
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Remember
A linear equation with two variables has infinite solutions.
Computationally one can solve two linear equations with two variables with one system of linear equations.