Difference between revisions of "Linear equation"
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| − | Linear equations are any algebraic equations where both sides of the equation are [[polynomials]] 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 == | == single-variable equations == | ||
Revision as of 06:50, 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:
where
and
are constants and
is the variable.
From this form, they can be solved with the following steps:
1. subtract
from both sides.
2. divide
from both sides.
two-variable equations
Two-variable linear equations can always be expressed in the form:
Where
and
are variables and
and
are constants.
Two-variable linear equations can be drawn as a straight line on a coordinate plane.
can be defined as the slope and
can be defined as the y-intercept