MAT101 Case 4 Answer Template 2

MAT101 Case 4 Answer Template
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.
1. What are the 3 methods for solving systems of equations? Which one do you prefer and why?
Answer: _1.Graphing Method__2.Substitution Method_3.Elimination Method_________________________________________________
Preference/reason: _Substitution Method-Because one is able to solve one of the equations for one of the unknowns then substitute the result into the other equation hence getting the exact answers._______________________________________
2. Describe a consistent system.
Answer: _This is a system that has at least one solution. For example in a graph where two lines intercept and there is a clear solution hence called consistent system. These two lines have different slopes and differently-intercept. _____________________________________________________
3. Describe an inconsistent system.
Answer: _This is a system that has no solution. For instance two lines have same slope but differently-intercept. These lines in a graph are parallel and do not intercept hence no solution._____________________________________________________
4. Describe a dependent system.
Answer: _This is a system of two linear equations which has one solution and this solution is exact. For example two lines in a graph that intercept and has exact point of intersection._____________________________________________________
Go to ‘insert’ and ‘shapes’. Choose the circles for the points and the lines to connect the dots. Use the arrows to represent the shading.
For example:


Solve the following systems of equations using the graphing method.
What type of system is it? Name the solution if there is one.
5.  QUOTE


- QUOTE


Calculations:
Table for x+y=5 Table for –x+y=3

xy 0550
xy03-30

Answer: x=1 and y=4

Consistent independent system.
6.  QUOTE




Calculations:
Table for 2x-2y=8 Table for x-y=4
xy 0-440
xy0-440
.
Answer: Has more than one solution

Consitent dependent system.
7.  QUOTE




Calculations:
Table for 3x-y=-2 Table for 3x-y=4
xy02-2/30
xy0-44/30

Answer: No solutions______________________________________________

Inconsistent system.
8.  QUOTE




Calculations:
Meet at an angle 90 degree.
Answer: When x=3,y=6_________________________________________________

Consistent indepandent system.
Solve the following systems of equations using the substitution method.
What type of system is it? Name the solution if there is one.
9.  QUOTE




Calculations: substituting x=6y+2 in the second equation gives,
3(6y+2) -18y=4, hence gives 18y+6-18y=4, leads to no solution.
Hence no solution.