4questions for 50
1) what are 3 different methods for solving systems of equations and when would you use each one?
2) how do you graph the solution set to a system of linear inequalities in two variables?
3) how do you determine whether a system of linear equations has no solution, one solution, or infinitely many solutions?
4)what are equivalent systems and how are the algebraic properties used in creating equivalent systems?

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality.
 
A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.A way to solve a linear system algebraically is to use the substitution method. 

The graphs of equations within a system can tell us how many solutions exist for Infinite Solutions. If the graphs of the equations intersect, then there is one solution that is true for  Looking at the graph does not tell us exactly where that point is, but we don't So a system made of two intersecting lines has one solution.
Two equations that have the same solution are called equivalent equations e.g. The addition property of equality tells us that adding the same number to. We can also use this example with the pieces of wood to explain the are equal as well.

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