None solutions to the system exist.
Given statement: A system of three linear equations in three variables is inconsistent.
Concept: If a, b, c and r are real numbers (and if a, b, and c are not all equal to 0) then ax + by + cz = r is called a linear equation in three variables. (The “three variables” are the x, the y, and the z.) The numbers a, b, and c are called the coefficients of the equation.
We know that if a system has no solution, then it is known as inconsistent.
[If there are one, two, or an infinite number of solutions to the system, then it is called consistent.]
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