The system of equations are .
Write the system of equations into the matrix form : , where A is coefficient matrix and X is variable matrix and B is constant matrix.
Place the coefficients of the equations and the constant terms and these are separated by dashed line into a matrix that is augmented matrix.
\The augmented matrix is .
To make the first element in the first () row a 1, multiply the first row (
) by
.
To make the first element in the second () row a 0, multiply the first row (
) by negative 2 and add the result to row 2 (
).
(The result is placed in row 2).
The second row contain zero elements that means there is no variables.
\The statement 0 = 7 is false, so the system equation has no solutions.
\