Difference between revisions of "Linear equation"

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Linear equations are any algebraic equations where both sides of the equation are [[polynomials]] or [[monomials]] of the first [[degree]].
 
Linear equations are any algebraic equations where both sides of the equation are [[polynomials]] or [[monomials]] of the first [[degree]].
  
== single-variable equations ==
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== Single-Variable Equations ==
  
 
Single-variable linear equations can '''always''' be expressed in the form:
 
Single-variable linear equations can '''always''' be expressed in the form:
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2. divide <math>a</math> from both sides.
 
2. divide <math>a</math> from both sides.
  
== two-variable equations ==
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== Two-Variable Equations ==
  
 
Two-variable linear equations can '''always''' be expressed in the form:
 
Two-variable linear equations can '''always''' be expressed in the form:

Revision as of 10:07, 4 December 2008

Linear equations are any algebraic equations where both sides of the equation are polynomials or monomials of the first degree.

Single-Variable Equations

Single-variable linear equations can always be expressed in the form: $ax+b=0$

where $a$ and $b$ are constants and $x$ is the variable.

From this form, they can be solved with the following steps:

1. subtract $b$ from both sides.

2. divide $a$ from both sides.

Two-Variable Equations

Two-variable linear equations can always be expressed in the form: $y=mx+b$

Where $y$ and $x$ are variables and $m$ and $b$ are constants.

Two-variable linear equations can be drawn as a straight line on a coordinate plane. $m$ can be defined as the slope and $b$ can be defined as the y-intercept