Need help with a 3 part question in Algebra.?

Question

1. How many solutions of a system of two linear equations in two unknowns can exist? 

2. How would each possible number of solutions appear graphically? 

3. Create systems of linear equations with each possible number of solutions.

cJ · Accepted Answer

1) (3 possible solutions), 1 solution, infinite solutions, or no solutions

2) 2 intersecting lines, 2 lines on top of each other (the same line), and 2 parallel lines, respectively.

3) Example y=x+3, y=-2x-2; y=x+4, y=x+4; y=2x-6, y=2x+3; respectively

hope this helps,

cJ

Need help with a 3 part question in Algebra.?

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