Solve system of linear equations by substitution method online

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The most simple method to solve system of linear algebraic equations (SLE) is the substitution method. Consider it more detailed, suppose we have SLE of the form:

system of two linear equations with two unknowns

We need to solve it, i.e. to find such the values of the variables x1, x2, which convert the initial SLE to the correct identity. The substitution method consists of the following steps:

1. Solve first equation of the SLE with respect to the x1:

system of two linear equations with two unknowns

2. Substitute obtained identity for x1 variable into the second equation of the SLE:

system of two linear equations with two unknowns

3. Simplify second equation of the SLE:

system of two linear equations with two unknowns

4. Solve second equation of the SLE with respect to the x2:

system of two linear equations with two unknowns

5. Substitute received expression for x2 into the first equation of SLE:

system of two linear equations with two unknowns

6. Simplify first equation of the SLE:

system of two linear equations with two unknowns

This online calculator solves SLE by the substitution method with step by step solution free of charge. The SLE's coefficients can be the numbers, fractions or parameters. To use the calculator, one need to input the SLE in its natural form and choose the variables to solve.

Solve slae by substitution method
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allow automatic SLE variables detection.
System of linear equations
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