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:

We need to solve it, i.e. to find such the values of the variables
x_{1},
x_{2},
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
x_{1}:

2. Substitute obtained identity for
x_{1}
variable into the second equation of the SLE:

3. Simplify second equation of the SLE:

4. Solve second equation of the SLE with respect to the
x_{2}:

5. Substitute received expression for
x_{2}
into the first equation of SLE:

6. Simplify first equation of the SLE:

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 algebraic equations you want to solve:

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