Presentation on theme: "6-3 solving systems using elimination"— Presentation transcript:
16-3 solving systems using elimination Objective: solve systems of linear equations using eliminationMiss battaglia – algebra 1 cp
2Warm upComplete the statements with one solution, no solution, or infinitely many solutions.If 2 linear equations have the same slope, they haveIf 2 linear equations have the same slope and same y- intercept, they have .If 2 linear equations have the different slopes, they have .
3Adding or subtracting equations When both linear equations of a system are in the form Ax + By = C you can solve the system using elimination. 5x – 6y = -32 3x + 6y = 48
4basketball292 tickets were sold for a high school basketball game. An adult ticket costs $3 and a student ticket costs $1. Ticket sales were $470. Use a system of linear equations to find the number of each type of ticket sold.
5example Should you add or subtract to solve? a – b = 8 b. -3x +2y = c. m + t = 6a + 2b = x – 2y = m + t = 14
6salesSuppose your class receives $1084 for selling 205 packages of greeting cards and gift wrap. Let w = the number of packages of gift wrap sold and c = the number of packages of greeting cards sold. Use a system of equations to find the number of each type of package sold.
7Can I eliminate a variable by adding or subtracting? Plan a strategy…Can I eliminate a variable by adding or subtracting?yesDo it.Do it.yesCan I multiply one of the equations by a number, and then add or subtract the equation?noMultiply both equations by different numbers. Then add or subtract the equation.no
8Work with a partner… Suppose you want to solve this 3x – 2y = 6 system using elimination. 5x + 7y = 41What would you multiply each equation by to eliminate x?What would you multiply each equation by to eliminate y?Solve the system using elimination. Be sure to check your solution!