AI Solver by AskSia

System of Equations Solver: substitution to matrices

Solve any 2 by 2 or 3 by 3 system of equations step-by-step on AskSia. Choose substitution, elimination, graphing, or matrix methods, or let AskSia pick the cleanest one. Every solve shows the intersection point or lines graphed, and flags inconsistent or dependent systems automatically.

Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
Quick Answer

What is the AskSia system of equations solver?

The AskSia system of equations solver is an AI tool that solves any 2 by 2 or 3 by 3 system step-by-step. Paste the equations, photograph them, or type them into the built-in calculator. AskSia picks the cleanest method (substitution when one variable is already isolated, elimination when coefficients line up, matrix methods for 3 by 3) or you can force a specific approach. Every solve returns the solution point, a graph of the lines, and a flag if the system has no solution (parallel lines) or infinite solutions (same line).

98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver

Every method, every system size.

2 by 2 and 3 by 3 systems with substitution, elimination, graphing, matrix inverse, Cramer's rule, or Gaussian elimination. AskSia picks the right method for the system, or walks through the one your class is using.

Picks substitution, elimination, or matrix

When one variable is already isolated, AskSia uses substitution. When coefficients line up cleanly, it picks elimination. For 3 by 3 systems or messy coefficients, it switches to matrix methods. The choice is shown at the start of every solve.

Smart method selection

Graphs the solution point

Every 2 by 2 system solve comes with both lines graphed and the solution point labeled at the intersection. For 3 by 3 systems, AskSia shows a 3D plane view or the row-reduced matrix, depending on what's clearest.

Graphical view

Flags no-solution and infinite cases

When two equations describe parallel lines (no solution) or the same line (infinite solutions), AskSia flags it immediately and explains the geometric meaning, instead of returning a confusing 0 = 0 or 0 = 5.

Inconsistent and dependent

Handles word problems

Translate distance, age, mixture, and money word problems into systems automatically. AskSia identifies the two or three unknowns, builds the system, solves it, and interprets the values in context.

Word problem translator

Matrix methods on demand

Ask for Gaussian elimination, the matrix inverse, or Cramer's rule. AskSia shows every row operation, computes the determinant, and explains why a singular matrix means no unique solution.

Matrix methods

Snap, paste, or type

Photograph all the equations together, paste from an online homework portal, or type them into the built-in calculator. AskSia parses the system and lines up the variables automatically.

Photo, text, equation
How It Works

Three taps to a solved system.

Step 01

Capture all the equations

Snap a photo with all equations visible, paste them, or type them into the built-in calculator. AskSia parses the system and identifies the variables.

Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02

Pick a method, or let Sia pick

AskSia chooses substitution, elimination, graphing, or matrix methods based on the system. You can override and request any specific method, useful when your class is being taught one technique.

Calculus · Step 4 of 4
1.4s
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03

See the solution graphed

AskSia returns the solution point with both lines graphed, or shows the row-reduced matrix for 3 by 3 systems. The intersection or 3D plane is labeled, with the algebraic answer alongside.

Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On

Solve anywhere
you study.

Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.

Web App

Full study studio

Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.

Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
app.asksia.ai/solver
Hi! What are we studying today?
Ask about your homework, lecture, or readings...
Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App

Snap & solve, anywhere

Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.

One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
AskSia
+
What can I do for you?
Homework solver
Live transcribe
File summary
Snap
YouTube
Flashcard
Calc
98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases

Every system, every method.

📐

Algebra 1 and 2 systems

2 by 2 linear systems solved by substitution, elimination, or graphing. AskSia picks the cleanest method and shows the solution point on a graph, with both lines labeled.

Algebra 1 and 2
⚛️

3 by 3 systems and Pre-Calc

3 by 3 linear systems with messy coefficients. AskSia switches to matrix methods (Gaussian elimination, inverse, or Cramer's rule) and shows every row operation.

Pre-Calc, College Alg
🧪

Word problems with systems

Distance-rate-time, age, mixture, money, and work problems that require 2 or 3 unknowns. AskSia identifies the unknowns, builds the system, and interprets the answer in the original context.

Word problems
🧬

Linear Algebra intro

First-semester Linear Algebra problems involving systems and row reduction. AskSia walks through Gaussian elimination with every elementary row operation labeled and the augmented matrix shown at each step.

Linear Algebra
💻

Detect parallel and identical lines

Systems with no solution (parallel lines) or infinite solutions (same line) are flagged at the start, with the geometric meaning explained. Useful when a homework problem expects you to identify the type.

Special cases
🎯

SAT, ACT, AP prep

Systems of equations are SAT and ACT staples. After any solve, generate similar practice problems at the right difficulty level for your target exam.

SAT, ACT, AP prep
Compare

AskSia vs. ChatGPT,
Photomath & Symbolab.

General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.

Feature comparison between AskSia Solver and alternatives
FeatureAskSia SolverChatGPTPhoto Solvers
Solution accuracy✓ 98%~70-85%, hallucinations~90%, math only
Auto-generated diagrams✓ Every solveInconsistent / brokenGraphs only, math-only
Step-by-step explanations✓ Numbered + plain EnglishInconsistent depth✓ Math steps
Subject coverage✓ Math, Physics, Chem, Bio, CS, Econ✓ Wide but unverifiedMath only
Photo input✓ Handwriting + diagrams + codePhotos OK, weak on handwriting✓ Math photos only
Answer verification✓ Self-checked before displayNo verificationMath engine only
Tutor follow-ups✓ Hints, alt methods, ELI5✓ General chatNot available
Practice and flashcards✓ One-tap from any solveManual promptingNot available
Code debugging✓ Python, Java, C++, SQL...✓ YesNot available
Free to start✓ Daily solves, no cardLimited model accessSteps locked behind paywall
FAQ

Frequently asked questions.

Which method should I use: substitution, elimination, or matrices?
Use substitution when one variable is already isolated or easy to isolate (like x = 2y + 1). Use elimination when the coefficients of one variable are equal or opposite, or can be made so with a quick multiplication. Use matrix methods (Gaussian elimination, inverse, Cramer's rule) for 3 by 3 systems or when the coefficients are messy. AskSia picks the cleanest method by default and shows the reasoning, but you can override and ask for any specific approach.
Can AskSia solve a 3 by 3 system of equations?
Yes. For 3 by 3 systems with three unknowns, AskSia uses Gaussian elimination, the matrix inverse, or Cramer's rule depending on which is cleanest. Every row operation is labeled with which rows are being scaled or combined, and the augmented matrix is shown at each step. The final solution is presented as (x, y, z) with a geometric note about whether the three planes meet at a point, a line, or are inconsistent.
What does no solution or infinite solutions look like?
When two lines are parallel, the elimination step produces something like 0 = 5, which has no solution. When the two equations describe the same line, elimination produces 0 = 0, meaning infinite solutions along that line. AskSia flags both cases at the start of the solve and explains the geometric meaning, so you don't waste time chasing a nonexistent answer.
Can AskSia translate a word problem into a system of equations?
Yes. Paste or photograph any word problem that requires two or three unknowns (distance-rate-time, age problems, money mixtures, work-rate problems) and AskSia identifies the unknowns, writes the system, solves it, and interprets the values back in the original context. For example, on a coin problem, AskSia returns the number of nickels and dimes and confirms they sum to the total in the prompt.
How accurate is AskSia?
AskSia is engineered for accuracy on standard high school and college coursework. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
Start Today

Any system. Solved by the cleanest method.

Join 2M+ students using AskSia to solve 2 by 2 and 3 by 3 systems of equations, with substitution, elimination, graphing, or matrix methods, plus the solution point graphed on every solve.

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