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Example 4: Equations with many solutions

Decide if the equations are parallel, coincident, or neither.

Equation A: Click here for solution

Equation B: Click here for solution

A:

 

 

 

 

B:

 

 

 

 

 

Since both equations are exactly the same, they are coincident.

 

Decide if the following equations are parallel, coincident, or neither.

3x + 2y = 1

2x - 3y = -1