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linear equation

noun, Mathematics
a first-order equation involving two variables: its graph is a straight line in the Cartesian coordinate system.
any equation such that the sum of two solutions is a solution, and a constant multiple of a solution is a solution.
Compare linear operator.
Origin of linear equation
1810-20 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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British Dictionary definitions for linear-equation

linear equation

a polynomial equation of the first degree, such as x + y = 7
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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linear-equation in Science
linear equation  
An algebraic equation, such as y = 4x + 3, in which the variables are of the first degree (that is, raised only to the first power). The graph of such an equation is a straight line.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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