# Solving Problems of Linear Equations

In mathematics every problem is represented in the form of an equation of variables, integer coefficients and operators, and all of these equations are categorized as linear or non- linear equations. For solving non- **linear equations** they are somehow converted into a linear form.

Friends today we are going to discuss about **linear equations** and **linear equations** graph. Every linear equation represents a straight line with several parallel conditions on a 2D plane. As we know **linear equations** consist of no. of derivatives which are formed by variables with or without integer coefficient but there is one necessary condition of forming **linear equations** is that all of its derivatives must be in same order of degree. The standard form of any linear equation is as:

Ax + By = C

Here ‘A’, ‘B’ and ‘c’ are integer constants and ‘x’, ‘y’ are two unknown variables of same order.

For graphing of any linear equation following conditions must be satisfied:

1) The equation should be of standard form

2) Linear equation must consist of two unknown variables which represents x and y axis coordinated which are required to graph any linear equation on a 2D plane.

Let us take an example for **linear equation graph** representation:

Given equation is ——> x^{2} + 9 = y^{2}

First convert it into standard form as:

x^{2} + y^{2} = 9

Now for finding x= axis co-ordinates, put y =0 in the equation

So, x^{2} = 9

x = +3 or – 3

Now for y co-ordinates, put x= 0 in equation

y^{2} = 9

y = +3 or -3

At last we have coordinated of (x, y) as (+3. +3) and (-3, -3), from which we can draw **linear equation graph**.

For more problems on **linear equations**, students can take lessons which cover **linear equations **topics of TutorVista, an online math tutoring websites .TutorVista provides **online help** to students across the globe for solving their math related queries in a quick time and explained manner.

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