A linear equation is a type of algebraic equation where each term has an exponent of 1. When this equation is graphed, it always produces a straight line, which is why it is called a 'linear' equation.

The general representation of a linear equation is

ax + by + c = 0.

Explanation: The given image shows a linear equation, where a, b, and c are constants and a and b are variables.

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 images shows,

\$a_1 x + b_1y = c_1\$ equation(1)

\$a_2 x + b_2 y = c_2\$ equation(2)

The system of equations is inconsistent and possesses no solutions only when,

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