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## Unit 1

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**Unit 1**Solving system of equations**System of equations**• Define: system of equations- a set of two or more equations • Define: solution of a system- ordered pair(s) that make all the equations true. • Key concept: the solution to a system is where the graphs intersect. Lines are Parallel No solution Lines coincide Infinitely many solutions Lines intersect 1 solution**Solve by Elimination**Would it change the solution if we solved by eliminating the x instead of the y?**System word problem**• Mr. Smith bought 2 lbs of jelly and 3 lbs of peanut butter. He paid $26.35. Mrs. Sing paid $18.35 for 1.5 lbs of jelly and 2 lbs of peanut butter. What was the price per pound of each item? 1st write two equations that model the above situation. ~Mr. Smith’s shopping trip ~Mrs. Sing’s shopping trip Then solve the system by using any method. $4.70/lb for Jelly $5.65/lb for Peanut Butter