Infinite solutions

Let us learn about "Infinite solutions"

Infinite indicates the limitless who are derived from Latin word infinities mean unbound ness. History says if we remove some value or adds some value to infinite, it will remain same like removing glass of water from ocean or adding bucket of water to ocean, which results same infinite. So infinite which is indicated by letter ∞.

System of Equation for Infinite Solution:

The system has infinite solutions:

Systems have only infinite solutions when the lines are parallel and the lines have the same y-intercept. If our two lines have the same slope are and the same y-intercept, they are actually the same exact line. In other words, systems have the infinite solutions when the two lines are the same line!

As an example, consider the following two lines

· Line 1: y = x +3

· Line 2: 2y = 2x +6

These two lines are exactly the same line. If you multiply line, 1 by two you get line 2.

System of equation for infinite solution:

The systems of solving equations are methods to solve two or more linear equations in two or more variables. We generally solve systems of equations in two and three variable. To solve systems of equation in two or three variables we need to determine first whether the equation is consistent, inconsistent, independent, or dependent. So, suppose we have two equations in two variables as

a₁x+b₁y=c₁ ------- (1)

a₂x+b₂y=c₂ ------- (2)

Condition:

The equations are consistent and dependent with infinite solution if and only if a₁ / a₂ = b₁ / b₂ = c₁ / c₂.

In our next blog we shall learn about "nylon properties"

I hope the above explanation was useful.Keep reading and leave your comments.