Linear and nonlinear.
Two lines, three planes, a parabola and a line, two circles. AskSia identifies the system type and applies the right approach.
All types
AI Solver by AskSia
Systems Solver: solved, checked, every step shown
From a simple 2x2 linear system up through nonlinear systems with curves intersecting curves, AskSia picks the cleanest method (elimination, substitution, or matrices) and shows every step. The solution is substituted back into every original equation, and the intersection is graphed when it helps.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
asksia.ai/solver
98% · Verified
Problem
Find the area enclosed between y = x² and y = 2x in the first quadrant.
1
Find the points of intersection
Set the curves equal: x² = 2x → x(x - 2) = 0, so x = 0 and x = 2.
2
Identify which curve is on top
On (0, 2), 2x > x², so y = 2x is the upper curve.
3
Set up the area integral
A = ∫₀² (2x - x²) dx
4
Integrate term-by-term
A = [ x² - x³/3 ]₀²
Final Answer
A = 4/3 sq. units
Quick Answer
What is a system of equations?
A system of equations is a collection of two or more equations that share variables, where the solution is the set of values that satisfy every equation at once. Linear systems have only first-degree variables and can always be solved by elimination, substitution, or matrix methods. Nonlinear systems involve quadratics, exponentials, or trig and usually need substitution. A system can have one solution, no solutions, or infinitely many depending on whether the curves intersect.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why AskSia handles every kind of system.
Linear or nonlinear, two equations or many, every step shown.
Smart method choice.
Elimination, substitution, or matrices. AskSia picks based on coefficient structure and tells you why before solving.
Adaptive
Matrix view available.
Toggle to see the augmented matrix and row-reduce by Gaussian elimination. Useful for linear-algebra classes.
Matrix view
Edge cases caught.
No solution, infinitely many, or parametric families: AskSia detects and describes the geometry instead of crashing.
Edge cases
Substituted check.
The final solution gets plugged into every original equation. Any imbalance is flagged before you submit homework.
Verified
Graph included.
Two-variable systems get a graph of every curve with the intersection point labeled, so the algebra has a picture.
Visual
How It Works
Solve any system in three steps.
Step 01
Enter all equations.
Type them, paste them, or photograph the system from a worksheet. AskSia parses each equation and identifies shared variables.
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
AskSia picks the method.
Linear and structured? Elimination or matrices. One equation already isolates a variable? Substitution. Nonlinear? Substitution with care.
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
Read the verified solution.
Step-by-step solving leads to the answer, which is substituted into every original. A graph appears when the system is two-variable.
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
Hi! What are we studying today?
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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
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98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What the systems solver covers.
2x2 linear systems.
Two equations, two unknowns. Standard middle and high school work, including word problems.
Algebra 1
3x3 and nxn linear.
Three or more equations, three or more unknowns. Elimination chain or Gaussian elimination, every step shown.
Linear algebra
Nonlinear systems.
Line and parabola, circle and line, two conics. AskSia substitutes and solves the resulting one-variable equation.
Pre-Calc
Word problems.
Mixture, motion, and money problems translated to equations and solved with units preserved in the final answer.
Word problems
Linear programming setup.
Feasible region from a system of inequalities, with vertices found by solving pairs of boundary lines.
Applied
Engineering and physics.
Circuit equations, force balance, mixture and reaction systems. Anything that reduces to simultaneous equations.
Applications
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 | AskSia Solver | ChatGPT | Photo Solvers |
|---|---|---|---|
| Solution accuracy | ✓ 98% | ~70-85%, hallucinations | ~90%, math only |
| Auto-generated diagrams | ✓ Every solve | Inconsistent / broken | Graphs only, math-only |
| Step-by-step explanations | ✓ Numbered + plain English | Inconsistent depth | ✓ Math steps |
| Subject coverage | ✓ Math, Physics, Chem, Bio, CS, Econ | ✓ Wide but unverified | Math only |
| Photo input | ✓ Handwriting + diagrams + code | Photos OK, weak on handwriting | ✓ Math photos only |
| Answer verification | ✓ Self-checked before display | No verification | Math engine only |
| Tutor follow-ups | ✓ Hints, alt methods, ELI5 | ✓ General chat | Not available |
| Practice and flashcards | ✓ One-tap from any solve | Manual prompting | Not available |
| Code debugging | ✓ Python, Java, C++, SQL... | ✓ Yes | Not available |
| Free to start | ✓ Daily solves, no card | Limited model access | Steps locked behind paywall |
FAQ
Frequently asked questions.
Does AskSia handle both linear and nonlinear systems?
Yes. Linear systems use elimination, substitution, or Gaussian elimination depending on what is cleanest. Nonlinear systems (a curve intersecting a line, or two curves) typically use substitution: solve one equation for one variable, substitute into the other, solve the resulting single-variable equation, and back-substitute.
What if the system has no solution or infinitely many solutions?
AskSia detects both. An inconsistent system produces a contradiction like 0 = 7, which AskSia translates into 'the curves do not intersect.' A dependent system produces 0 = 0, and AskSia describes the solution set as a line, plane, or parametric family with explicit parametrization.
Can I see Gaussian elimination on the matrix?
Yes. Toggle to matrix view for any linear system. AskSia displays the augmented matrix, performs row operations one at a time with the operation labeled, and reaches reduced row-echelon form. The final solution reads off directly.
How are word problems handled?
AskSia parses the English, identifies the unknowns, writes equations that capture every constraint, and then solves. The final numerical answer is converted back to the units of the problem (dollars, hours, gallons) and a one-sentence interpretation is provided alongside.
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.
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Linear or nonlinear, every system solved.
Join 2M+ students using AskSia to solve systems of equations with full step-by-step work. Photo input, matrix view, intersection graphs, and verification on every solve.
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