2.1 Solving Systems of Equations in Two Variables. Objectives: 1.Solve systems of equations graphically. 2.Solve systems of equations algebraically.

2.1 Solving Systems of Equations in Two Variables. A system of equations is a set of two or more equations. The solution is the set of ordered pairs all equations have in common. There are several methods you can use to solve a system of equations. Graphing Elimination method Substitution method NOTE: You may use your graphing calculator to check your answers, but you will need to show the work by hand for full credit.

2.1 Solving Systems of Equations in Two Variables. ConsistentInconsistent IndependentDependent Example: y = 3x + 2 y = -x + 1 Example: y = -2x + 7 Example: y = 4x + 2 y = 4x + 1 Different slopeSame slope, same y- intercept Same slope, different y- intercepts Lines intersect at one pointGraphs are the same lineLines are parallel One solutionInfinitely many solutionsNo solution

2.1 Solving Systems of Equations in Two Variables. Solve each system of equations by graphing.

2.1 Solving Systems of Equations in Two Variables. Solve each system of equations by elimination.

2.1 Solving Systems of Equations in Two Variables. Solve each system of equations by substitution.

2.1 Solving Systems of Equations in Two Variables. SALES HomePride manufactures solid oak racks for displaying baseball equipment and karate belts. They usually sell six times as many baseball racks as karate-belt racks. The net profit is $3 from each baseball rack and $5 from each karate-belt rack. If the company wants a total profit of $46,000, how many of each type of rack should they sell?

9/ odd, Read pages for tomorrow.