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#8 Systems of Equations and Inequalities GAP Solution of a system of equation is where both of Solving Systems using Polysmlt2 Calculator Steps: the lines intersect or cross. 1) Make sure that both equations are in standard form: Ax By C 2) On the calculator, press the APPS BUTTON 3) Select #4 - Plysmlt2 4) Select #2 – Simult Eqn Solver 5) On the next screen do not change anything. Solution (2,0) To move to the next screen, press GRAPH button that us under the word NEXT 6) Enter the coefficients for each equation (Remember – coefficients are the numbers in front of the variable. You must hit enter after each number. 7) To find the solution, hit GRAPH under where it says solve to get your solution. 1. 2. 3. Karen makes $5 per hour baby-sitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend baby-sitting? 4. The difference in cost between a large bag of chips and a small bag of chips was 90₵. Alicia bought 5 large bags and 3 small bags of chips for her party and spent $17.22. What was the cost of a small bag of chips? F $5.74 H $2.15 F 11 H 7 G 9 J 6 G $2.49 J $1.59 5. 6. Which is most likely the solution to the system of equations shown in the graph? 7. For which system of inequalities is (-3,1) a solution? 8. Look at the system of equations. What is the x for the solution to this system of equations? 9. A total of 243 adults and children are at a movie theater. There are 109 more adults than children in the theater. If a represents the number of adults and b represents the number of children, which system of equations could be used to find the number of adutls and the number of children in the theater? 10. During a sale, an automobile dealer sold 69 cars and trucks. If she sold 27 more cars than trucks, how many of each did she sell? F 48 cars, 21 trucks G 45 cars, 24 trucks H 42 cars, 27 trucks J 35 cars, 34 trucks 11. 12. A system of inequalities is shown. From the given points, select each point that is a solution to this system of inequalities.