Standard Form
\(ax + b = c\) where \(a, b, c\) are constants, and \(a \neq 0\)
Lineare Gleichungslöser
Lösen Sie lineare Gleichungen mit einer Variablen mit Schritt-für-Schritt-Lösungen
Linear Equation Solver
\(ax + b = c\)
Solve for x in the form ax + b = c
Ergebnisse
Geben Sie Werte ein und klicken Sie auf Berechnen, um das Ergebnis zu sehen.
Linear Equations
Linear equations in one variable can be solved using inverse operations.
Key Points:
- Linear equations have exactly one solution
- The coefficient of x (a) cannot be zero
- Always check your solution by substituting back
- Use inverse operations to isolate the variable
\(ax + b = c\)
Worked Examples
Solution Formula
\(x = \frac{c - b}{a}\) to solve for x by isolating the variable
Example: 2x + 3 = 7
\(2x = 7 - 3 = 4\), so \(x = \frac{4}{2} = 2\)
Example: -3x + 5 = 14
\(-3x = 14 - 5 = 9\), so \(x = \frac{9}{-3} = -3\)