Pair of linear equations
Solve pair of linear equations with your values and follow each calculation step.
Inputs
Use the units shown—
Enter your values and select Calculate.
Formula & explanation
ax+by=c; dx+ey=f
Variables & units
- Equation 1 · coefficient of x
- Numeric value · minimum -1000000, maximum 1000000
- Equation 1 · coefficient of y
- Numeric value · minimum -1000000, maximum 1000000
- Equation 1 · right side
- Numeric value · minimum -1000000, maximum 1000000
- Equation 2 · coefficient of x
- Numeric value · minimum -1000000, maximum 1000000
- Equation 2 · coefficient of y
- Numeric value · minimum -1000000, maximum 1000000
- Equation 2 · right side
- Numeric value · minimum -1000000, maximum 1000000
Worked example
x+y=5 and x−y=1 give x=3, y=2.
Assumptions
Both equations use right-side constants. A unique intersection is required. Displayed intermediate decimals are rounded.
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
Practice with an example
Use the default input values to find the answer. The reset icon restores those values.
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