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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