Definition: Linear eqution

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 the maximum degree 1.

The general representation of a linear equation is;

y = mx + c

Explanation:

Here the given image shows that Where 'x' and 'y' are the variables, 'm' is the slope of the line, and c is a constant value.

Definition: System of Linear Equations with Infinite Solutions

To solve systems of an equation in two or three variables, first, we need to determine whether the equation is dependent, independent, consistent, or inconsistent. If a pair of linear equations have unique or infinite solutions, then the system of equations is said to be a consistent pair of linear equations. Thus, suppose we have two equations in two variables as follows:

Explanation:

Here the given image shows that
\$a_1 x + b_1y = c_1\$ ------(1)

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

The given equations are consistent and dependent and have infinitely many solutions, if and only if,

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