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Quick guide

What This Calculator Does

This equation solver handles two focused algebra tasks: a one-variable linear equation ax+b=c, and a 2x2 system a1x+b1y=c1, a2x+b2y=c2. After you enter the coefficients, it reports the solution status, numeric result, and the steps actually used by the page.

Its strength is structured input and checkable arithmetic, not free-form symbolic algebra. Rewrite the problem into the requested standard form and enter each coefficient separately. The page does not parse 2x+3=11 as text, and it does not solve quadratic, nonlinear, or 3x3 systems.

When to Use It

  • Solve a linear equation in the form ax+b=c.
  • Find the intersection point (x,y) of two linear relationships.
  • Classify a problem as one solution, no solution, or infinitely many solutions.
  • Review numeric steps for classroom work or homework checking.

For expressions with parentheses, powers, or functions, use the mathematical expression calculator. For quadratic equations, use the quadratic equation calculator.

Inputs Explained

Linear equation mode

The three fields represent:

ax + b = c

Read the full guide

Frequently Asked Questions

What does this equation solver support?

It supports a one-variable linear equation `ax+b=c` and a 2x2 system made from two linear equations in x and y.

Can I type 2x+3=11 directly?

No. The page expects separate coefficients `a`, `b`, and `c` rather than a free-form equation string.

Why can the result be no solution or infinitely many solutions?

A degenerate linear equation or a pair of identical or contradictory system relationships can produce those statuses.

Does it accept fractions, scientific notation, or variables?

The parser accepts ordinary integer and decimal text only; it does not accept `1/2`, `1e3`, commas, or variable expressions.

What does the determinant mean in a system?

`det=a1b2-a2b1` is the coefficient-matrix determinant. A nonzero value gives a unique numeric solution; a near-zero value is classified further as none or infinite.

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Equation Solver

Enter separate ordinary decimal coefficients to solve ax + b = c or a 2x2 linear system, classify the solution, and view numeric steps.

Equation Input

Equation Input

This solver uses ax + b = c; enter ordinary integers or decimals.