Algebra Calculator
Solve single-variable linear equations and systems of 2x2 simultaneous equations.
Linear Equation Solver (\(ax + b = c\))
Type any linear equation with variable \(x\), e.g. 2x + 5 = 15 or 5x - 4 = 2x + 11.
Solution
x = 5
Step 1: 2x = 15 - 5
Step 2: 2x = 10
Step 3: x = 5
Simultaneous Equations (2 Variables)
Solve systems of two linear equations in the standard form \(a_1x + b_1y = c_1\) and \(a_2x + b_2y = c_2\).
x +
y =
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y =
Value of x
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Value of y
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Algebra Formulas & Solution Steps
View All Math Formulas Handbook →Linear Equation Formula
Isolating the variable $x$:
$$ ax + b = c \implies x = \frac{c - b}{a} $$
How to calculate:
$$ \text{Step 1: } ax = c - b, \quad \text{Step 2: } x = \frac{c - b}{a} $$
Simultaneous Equations (Cramer's Rule)
Solving a $2 \times 2$ linear system:
$$ \begin{cases} a_1 x + b_1 y = c_1 \\ a_2 x + b_2 y = c_2 \end{cases} $$
How to calculate:
$$ D = a_1 b_2 - a_2 b_1, \quad x = \frac{c_1 b_2 - c_2 b_1}{D}, \quad y = \frac{a_1 c_2 - a_2 c_1}{D} $$