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Additional Mathematics
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Additional Mathematics
Systems of Linear Equations in Three Variables
Additional Mathematics
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Systems of Linear Equations in Three Variables
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The general form of a linear equation in three variables
ax + by + cz = d, where a, b and c are not equal to zero
A linear equation
An equation where the power of the variable is 1
Solutions to systems of linear equations in three variables
-One solution -Infinite solutions -No solution
Geometrically, a linear equation in three variables forms a plane in a three dimensional space
One solution
The planes intersect at only one point
Infinite solutions
The planes intersect in a straight line
No solution
The planes do not intersect at any point
Methods used to solve systems of linear equations in three variables
-Elimination method -Substitution method
A non-linear equation
An equation which has at least one variable whose power is not 1
The methods used to solve simultaneous equations
-Elimination -Substitution -Graphical representation methods
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