MAT101 Case 4 Answer Template Case Study - 275 Words

MAT101 Case 4 Answer Template (Case Study Sample) Content: MAT101 Case 4 Answer TemplateI affirm that this assignment contains all original work. I am familiar with Trident Universityà ¢Ã¢â€š ¬s Academic Integrity policy located in the Trident Policy Handbook. I affirm that I have not engaged in direct duplication, copy/pasting, sharing assignments, collaboration with others, contract cheating and/or obtaining answers online, paraphrasing, or submitting/facilitating the submission of prior work. Work found to be unoriginal and in violation of this policy is subject to consequences such as a failing grade on the assignment, a failing grade in the course, and/or elevated academic sanctions. My name below affirms that the assignment was completed individually, and all work presented is my own.Name:Date:Instructor:Use this template to insert your answers for the assignment. Please use one of the four methods for showing your work (EE, Math Type, ALT keys, or neatly typed). Remember that your work should be clear and legible.Pr oblems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible.1. What are the 3 methods for solving systems of equations? Which one do you prefer and why?Answer: Graphing, Substitution and EliminationPreference/reason: Substitution, because the system is set up with the x and y variables together. It is easier for me to solve the equation even though we do it separately the are both visually there for me to remember my steps.2. Describe a consistent system.Answer: A Consistent System is where you can find a solution for the equations.3. Describe an inconsistent system.Answer: A inconsistent system is a system that offers no solution to the equation.4. Describe a dependent system.Answer: A dependent system When one point of the equation satisfies the other.Go to à ¢Ã¢â€š ¬Ã‹Å"insertà ¢Ã¢â€š ¬ and à ¢Ã¢â€š ¬Ã‹Å"shapesà ¢Ã¢â€š ¬. Choose the circles for the points and the lines to connect the dots. Use the arrows to represent the shading.For example:107632542354500323850105219501352550299720714375785495866774471170157162578549511430001585595Solve the following systems of equations using the graphing method.What type of system is it? Name the solution if there is one.5. x+y=5-x+y=3Calculations:x+y=5If x=2; if x=3;y=5-2y=5-3y=3y=2x y 2 3 3 2 -x+y=3If x=2; if x=1;y=3+2y=3+1y=4y=4x y 2 5 1 4 Answer: (1, 4)_This is a consistent independent system of linear equations0457201657350617220001885950398145001114424-19052085975988695001885950779145006. 2x-2y=8x-y=4Calculations:2x+2y=8If x=2; if x=1;y=8-4y=8-2y=6y= 6x y 2 4 1 6 x-y=4If x=2; if x=2;y=-4+2y=-4+1y=-2y=-1x y 2 -2 1 -3 Answer: (4, 0) _ This is a consistent independent system of linear equations1571625168275165735017716500187642558674000809625853439187642518059400016573502015490007. 3x-y=-23x-y=4Calculations:3x-y=-2If x=0if =1;y=2+0y=2+3y=2y=5x y 0 2 1 5 3x-y=4If x=2 if x=1;y=6-4y=3-4y =2y=-1x y 2 2 1 -1 1285875191135009048 75133985Answer: This is an inconsistent system of linear equations and has no solution16668751628775001866900990600001666875400050001447800990600008. y=6x=-3Calculations:y=6If x=1; if x=2;y=6y=6y=6y=6x y 1 6 2 6 x=-3If y=1; if y=3;x=-3y=-3x=-3y=-3x y -3 1 -3 3 Answer: (3, 6) This is an inconsistent system of linear equations904875-18382007810500083820011906250095250238125187642519050000165735019050000Solve the following systems of equations using the substitution method.What type of system is it? Name the solution if there is one.9. x=6y+23x-18y=4Calculations:36y+2+18y=418y+6-18y=40=4-60=-2Answer: This is an inconsistent system that has no solution.___________10. x-y=3x+3y=6Calculations:x=3+y3+y+3y=63+4y=64y=6-3y=0.75x-0.75=3x=3+0.75x=3.75Answer: (3.75, 0.75) This is a consistent system of linear equations _____________11. y=-2x4x-3y=12Calculations:4x-3*-2x=124x+6x=1210x=12x=1.21.2*4-3y=124.8-3y=124.8-12=3y7.2=3yy=2.4Answer: (1.2, 2.4)_This is a consistent system of linear equa tions ____________12. 2x-5y=15x-7y=3Calculations:2x-5y=15x=7.5-2.5y7.5-2.5y-7y=37.5-4.5y=34.5=4.5yy=12x-5=152x=20x=10Answer: (10, 1). This is a consistent system of linear equations ___Solve the following systems of equations using the addition (elimination) method.What type of system is it? Name the solution if there is one.13. x+y=6x-y=4Calculations:x+y=6x-y=42x=10x=55+y=66-5=yy=1Answer: (5, 1)_This is a consistent system of linear equations___________14. -2x+3y=52x-y=1Calculations:-2x+3y=52x-y= 12y=6y=32x-3=12x=4x=2Answer: (2, 3)__ This is a consistent system of linear equations__________15. 5x+y=23x+y=1Calculations:5x+y=23x+y=12x=1x=0.55*0.5+y=22.5+y=2y=2-2.5y=-0.5Answer: __(0.5, -0.5)_This is a consistent system of linear equations.______16. 5x=20+y16=3y+4xCalculations:5x=20+y16=3y+4x5x-y=20*34x+3y=16*115x-3y=604x+3y=1619x=76x=45*4=20+yy=20-20y=0Answer: (4,0)_ This is a consistent system of linear equations.______Solve the following systems of inequalities using the grap hing method.Shade the solution set.17. x+y4y+3x6Calculations:x+y=4y+3x=6y4-xx Y 2 Y=4-2=2 1 Y=4-1=3 y6-3x