Mister Exam
500000=12*x; 500000+2*x=10*x
The solution
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500000 = 12*x
$$500000 = 12 x$$
500000 + 2*x = 10*x
$$2 x + 500000 = 10 x$$
2*x + 500000 = 10*x
Gaussian elimination
Given the system of equations
$$500000 = 12 x$$
$$2 x + 500000 = 10 x$$
We give the system of equations to the canonical form
$$- 12 x = -500000$$
$$- 8 x = -500000$$
Rewrite the system of linear equations as the matrix form
$$\left[\begin{matrix}-12 & -500000\\-8 & -500000\end{matrix}\right]$$
We prepare elementary equations using a solved matrix and see that this system of equations has no decisions
$$500000 - 12 x_{1} = 0$$
$$500000 - 8 x_{1} = 0$$
We get the answer:
This system of equations has no solutions
$$500000 = 12 x$$
$$2 x + 500000 = 10 x$$
We give the system of equations to the canonical form
$$- 12 x = -500000$$
$$- 8 x = -500000$$
Rewrite the system of linear equations as the matrix form
$$\left[\begin{matrix}-12 & -500000\\-8 & -500000\end{matrix}\right]$$
We prepare elementary equations using a solved matrix and see that this system of equations has no decisions
$$500000 - 12 x_{1} = 0$$
$$500000 - 8 x_{1} = 0$$
We get the answer:
This system of equations has no solutions