FOCUS
ON MATH
Systems of Linear Equations
A system of linear
equations is set of linear equations, each
involving the same variables. These
equations are solved by applying certain
formulas to the system of linear equations.
The aim is to eliminate one of the variables.
Assume we have two linear equations
where
a1
and a2
= coefficients of the unknown x
b1
and b2
= coefficients of the unknown y
c1
and c2
= constants
x
and y
= coordinates of the solution to the equations
The solution of
the equation may be carried out using determinants.
-
A determinant is
an operator that combines a square array
of numbers into a single number used
in solving systems of linear equations.
-
A second-order determinant
is a tool that may be used to solve
a system of two linear equations. It
operates on four numbers to produce
a new number.
The numerical value of the determinant
is given as:
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