📐 Substitution Method Calculator
Solve systems of equations using substitution
How to Use This Calculator
1
Enter First Equation
Type first equation, ideally with one variable isolated
2
Enter Second Equation
Type second equation
3
Solve
Follow substitution method steps to solve
Substitution Method
Example:
System: y = 2x + 1, x + y = 10
Step 1:
Step 2:
Step 3:
Step 4:
Solution: x = 3, y = 7
When to use substitution:
- One variable is already isolated
- Easy to solve one equation for a variable
- Works well when one equation is simple
About Substitution Method Calculator
The Substitution Method Calculator solves systems of linear equations by solving one equation for one variable and substituting into the other equation. Best used when one variable is already isolated or easy to isolate.
Advantages
- Simple: Straightforward steps
- Fewer calculations: Less arithmetic than elimination
- Good for decimals: Works well with decimals and fractions
Process
- Solve one equation for one variable
- Substitute the expression into the other equation
- Solve for the remaining variable
- Substitute back to find the first variable
- Check solution in both equations
Frequently Asked Questions
When should I use substitution vs elimination?
Use substitution when one variable is already isolated. Use elimination when coefficients are easy to cancel.
Can I use substitution for 3x3 systems?
Yes! Solve one variable, substitute into the other equations, and continue the process.