Math Definition Of Linear Equation Complete Guide

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math definition of linear equation. Surprisingly when any linear equation is plotted on a graph it will necessarily produce a straight line - hence the name. In y ax b x is called independent variable and y is called dependent variable.

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For instance consider the linear equation y 3 x 5. This equation will be a linear combination of these two variables and a constant can be present. Definition Of Linear Equation Linear equation is an equation of the form Ax By C where A 0 and B 0.

Linear equations are all equations that have the following form.

A first-order equation involving two variables. Y ax b. A and b are called constants. A linear differential equation is homogeneous if it is a homogeneous linear equation in the unknown function and its derivatives.