Solve system of linear equations by Cramer's rule online

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 of the SLE equation relative to the x1 variable:

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 relative to the x2 variable:

system of two linear equations with two unknowns

5. Подставим полученное для переменной x2 выражение в первое уравнение системы:

system of two linear equations with two unknowns

6. Упростим первое уравнение системы:

system of two linear equations with two unknowns

Данный онлайн калькулятор решает СЛУ методом методом подстановки с описанием пошагового хода решения на русском языке. Коэффициенты СЛУ могут быть не только числами или дробями, но также и параметрами. Для работы калькулятора необходимо ввести уравнения и выбрать переменные СЛУ, которые необходимо найти.

Choose expression input type:

Expression input type:

Choose number of equations in system and the variables:

Number of equations in system: .

Variables you want to find: ,,,

allow automatic SLE variables detection.

Система линейных уравнений

System of linear algebraic equations you want to solve:

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