Precalculus 8-03 Name: ___________________
Created by Richard Wright – Andrews Academy To be used with Richard Wright’s Precalculus
Precalculus
8-03 Multivariable Linear Systems
Row-Echelon Form
• The first __________________term in each equation has a coefficient of __________________.
• All terms __________________the leading 1 are __________________producing an inverted __________________shape.
• Any equations that are all __________________are at the __________________.
{1𝑥+𝑦+3𝑧=3
1𝑦+5𝑧=10
1𝑧=7
Elementary Row Operations
The following operations are allowed in systems of equations and produce equivalent systems.
• __________________two equations
• __________________one equation by a nonzero constant
• __________________a multiple of one equation to another equation and replace the latter equation
Solve {𝑥+𝑦 +𝑧=3
2𝑥−𝑦 +3𝑧= 16
𝑥−2𝑦 −𝑧 =1
