Difference between revisions of "Linear equation"

(New page: Linear equations are any algebraic equations where both sides of the equation are polynomials of the first degree. == single-variable equations == Single-variable linear equation...)
 
(single-variable equations)
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1. subtract <math>b</math> from both sides.
 
1. subtract <math>b</math> from both sides.
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2. divide <math>a</math> from both sides.
 
2. divide <math>a</math> from both sides.
  

Revision as of 18:24, 2 December 2008

Linear equations are any algebraic equations where both sides of the equation are polynomials 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