## Example №3. Solving of a System of Linear Equations by the Gauss elimination (No Solution)This solution has been made using the calculator presented on the site. Example №1. Solving of a system of linear equations by the Gauss elimination (one solution) Example №2. Solving of a system of linear equations by the Gauss elimination (many solutions) Example №4. Solving of a system of linear equations by the Gauss Jordan elimination (one solution) Example №5. Solving of a system of linear equations by the Gauss Jordan elimination (many solutions) Please note that the coefficients will disappear which located in the "red" positions.
The equation 1 multiplied by -3 is added to the equation 2. more info ( 3 x _{1} + x_{1} * ( -3) ) + ( 3 x _{2} + ( -2 x_{2}) * ( -3) ) + ( -5 x _{3} + 3 x_{3} * ( -3) ) + ( x _{4} + ( -4 x_{4}) * ( -3) ) = -3 + 2 * ( -3) The "red" coefficient is zero.
The equation 1 multiplied by 2 is added to the equation 3. more info ( -2 x _{1} + x_{1} * 2 ) + ( x _{2} + ( -2 x_{2}) * 2 ) + ( 2 x _{3} + 3 x_{3} * 2 ) + ( -3 x _{4} + ( -4 x_{4}) * 2 ) = 5 + 2 * 2 The "red" coefficient is zero.
The equation 1 multiplied by -3 is added to the equation 4. more info ( 3 x _{1} + x_{1} * ( -3) ) - 2 x _{2} * ( -3) + ( 3 x _{3} + 3 x_{3} * ( -3) ) + ( -10 x _{4} + ( -4 x_{4}) * ( -3) ) = 8 + 2 * ( -3) The "red" coefficient is zero.
The equation 3 and equation 2 are reversed.
The equation 2 multiplied by 3 is added to the equation 3. more info ( 9 x _{2} + ( -3 x_{2}) * 3 ) + ( -14 x _{3} + 8 x_{3} * 3 ) + ( 13 x _{4} + ( -11 x_{4}) * 3 ) = -9 + 9 * 3 The "red" coefficient is zero.
The equation 2 multiplied by 2 is added to the equation 4. more info ( 6 x _{2} + ( -3 x_{2}) * 2 ) + ( -6 x _{3} + 8 x_{3} * 2 ) + ( 2 x _{4} + ( -11 x_{4}) * 2 ) = 2 + 9 * 2 The "red" coefficient is zero.
The equation 3 multiplied by -1 is added to the equation 4. more info ( 10 x _{3} + 10 x_{3} * ( -1) ) + ( -20 x _{4} + ( -20 x_{4}) * ( -1) ) = 20 + 18 * ( -1) The "red" coefficient is zero.
Equation 4 is false. The system has no solution.
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