Definition: Linear equation

It forms a straight line or represents the equation for the straight line. It has only one degree. Or we can also define it as an equation having a maximum degree of 1. The general representation of a linear equation is;

ax + by + c = 0

Explanation:

Here the given image shows that Where a,b,c are constants and x and y are the variables.

Definition: System of Linear Equations with No Solutions

A system of linear equations with no solutions means that there are no values for the variables that can satisfy all the equations in the system simultaneously. In other words, the equations are contradictory and cannot be accurate at the same time.

Explanation:

Here the given image show that
\$a_1 x + b_1y = c_1\$ ------(1)
\$a_2 x + b_2 y = c_2\$-------(2)

The given equations are inconsistent and have no solutions, if and only if,

\$(a_1/a_2) = (b_1/b_2) ne (c_1/c_2)\$.