1.3 Equivalent linear Equations and systems
by the end of this lesson you will be able to:
- recognize and create equivalent linear equations and equivalent linear systems
key concepts:
Equivalent linear equations:
Definition: Equations that have the same graph
an equivalent linear equation can be written by multiplying the equation by any real number
Equivalent Linear Systems:
Definition: linear systems that have the same solution. the graphs of the lines in the system have the same point of intersection.
Equivalent linear systems can be written by:
1) multiplying equations by any real number
2) adding or subtracting the original equations
ontario curriculum
overall expectation:
- model and solve problems involving the intersection of two straight lines