Vocab
What is a system of two linear equations in two variables is an ordered pair that satisfies both equations?
Solution
3x-y=3
x+2y=8
(2,3)
2x-y=1
-4x+2y=-2
Infinitely many solutions
What is just a set of two or more linear equations?
System of two linear equations
y=-x+3
y=2x+9
(-1,3)
x+2y=4
x+2y=1
no solutions
What is the process of adding two algebraic equations so that one of the variables is eliminated?
Linear combination method
-x+4y=2
2x-3y=6
(2,-2)
What is the algebraic method to solve simultaneous linear equations?
Substitution method
What is formed by a point called the origin (denoted by O) and a basis consisting of three mutually perpendicular vectors?
Three-dimensional coordinate system