Gaussian elimination
Given the system of equations
$$\left(- 19 d - 3 d\right) - 19 = 0$$
$$20 - 19 d = 0$$
We give the system of equations to the canonical form
$$- 22 d = 19$$
$$- 19 d = -20$$
Rewrite the system of linear equations as the matrix form
$$\left[\begin{matrix}-22 & 19\\-19 & -20\end{matrix}\right]$$
We prepare elementary equations using a solved matrix and see that this system of equations has no decisions
$$- 22 x_{1} - 19 = 0$$
$$20 - 19 x_{1} = 0$$
We get the answer:
This system of equations has no solutions