Systems of linear algebraic equations

rule)
Consider a system of two equations with two unknowns (*):
The determinant is called the basic determinant of the system of equations (*), and the determinants
and are called the auxiliary determinants of the system.

each equation of the system (*) has a unique decision: Cramer formulas.
2) Δ = 0, but at least one of Δх, Δу is not equal to zero.
In this case there is at least one equation of the system which has no decision. Consequently the original system (*) has no decision, i.e. is non-compatible.
3) Δ = Δх = Δу = 0.
In this case each equation of the system has infinitely many decisions. Consequently the original system (*) is compatible and indeterminate.

the system
2) Compute the auxiliary determinants of the system:
Δ = 17 ≠ 0