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● Algebra Calculator

Substitution Method Calculator

Solve two linear equations with two variables using substitution, view the exact solution, verify both equations, and follow each algebra step.

STEP 01Enter both equations

Use standard form ax + by = c.

STEP 02Isolate a variable

The calculator selects a practical substitution path.

STEP 03Substitute and solve

See x, y, checks, and the full working.

x solution
2
y solution
1
system type
Unique
verification
Passed
Equation inputs
a₁x + b₁y = c₁
a₂x + b₂y = c₂
Solution
x = 2, y = 1
unique intersection
Both equations are satisfied by the ordered pair (2, 1).
Substitution steps
Verification
Equation 1: 3 = 3
Equation 2: 3 = 3

A unique solution is the point where both lines intersect. If the equations describe the same line, there are infinitely many solutions. Parallel distinct lines have no solution.

Frequently asked questions
What is the substitution method?

It isolates one variable in one equation and substitutes that expression into the other equation.

What does no solution mean?

The two equations represent parallel lines that never intersect.

What do infinitely many solutions mean?

Both equations represent the same line, so every point on that line satisfies both equations.

Math Calculation Disclaimer

Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.

ⓘ Substitution Method Calculator Disclaimer
This tool is designed for learning and checking algebra work. Review the shown steps and confirm input signs and coefficients.
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