# System of Linear Equations Solver API

> For the complete documentation index, see [llms.txt](/llms.txt).

Solve n x n linear systems (2 to 8 unknowns) exactly, including parametric infinite-solution forms.

Use this endpoint to add the tool to your app, site, workflow, or agent without rebuilding formulas, validation, examples, and docs.

- Slug: `system-of-linear-equations-solver`
- Category: `math`
- Version: `2026-04-22`
- Credits per successful call: 1
- Starts on: free
- Max payload: 65536 bytes
- Privacy mode: `hash_only`
- Available on: free, starter, pro, business, scale
- Browser tool: https://miniwebtool.com/system-of-linear-equations-solver/

## Endpoint

`POST https://api.miniwebtool.com/v1/tools/system-of-linear-equations-solver/run`

## Request body

| Field | Type | Required | Description |
| --- | --- | --- | --- |
| `coefficients` | `str` | yes | Matrix rows separated by newlines or ';', values by commas or spaces |
| `constants` | `str` | yes | Right-hand-side constants, one per equation |

## Example request

```json
{
  "coefficients": "2 1; 1 -1",
  "constants": "5, 1"
}
```

## cURL

```bash
curl -X POST https://api.miniwebtool.com/v1/tools/system-of-linear-equations-solver/run \
  -H 'Authorization: Bearer mwt_live_YOUR_KEY' \
  -H 'Content-Type: application/json' \
  -d '{"coefficients":"2 1; 1 -1","constants":"5, 1"}'
```

## Response envelope

```json
{
  "request_id": "01K...",
  "tool": "system-of-linear-equations-solver",
  "tool_version": "2026-04-22",
  "credits_used": 1,
  "result": {}
}
```

## Errors

Errors are RFC 7807 `application/problem+json`. Branch on `code`, not `title`.

## MCP

Agents can discover and call this tool through `https://api.miniwebtool.com/mcp` or `https://api.miniwebtool.com/v1/mcp` using MCP `tools/list` and `tools/call`.

## Frequently asked

### What does the System of Linear Equations Solver API do?

Solve n x n linear systems (2 to 8 unknowns) exactly, including parametric infinite-solution forms. Use it to add this utility without rebuilding formulas, validation, examples, and documentation.

### How much does one call cost?

1 credit per successful call. Failed calls do not bill.

### What parameters are required?

Required fields: coefficients, constants. Full schema at `https://api.miniwebtool.com/v1/openapi.json`.

### Is this deterministic?

Yes. Same input, same output. Tool version: 2026-04-22.