MAT 1100 Quantitative Reasoning Module 3 Lesson 3 Assignment 1

MAT 1100 Quantitative Reasoning Module 3 Lesson 3 Assignment 1
Student Name:
Match the system with the correct graph.
1) x + y=−5
x− y =−1
A) B)
C) D)
Solution: Let’s first find the point of intersection of the system of equations
Use elimination method:

MAT 1100 Quantitative Reasoning Module 3 Lesson 3 Assignment 1
Add equation (1) and (2) we get
Substitute the value of x in any of equations we get . Hence, the point of intersection is which
lies in 4rth quadrant. Therefore the best graph is option (C).
2) Decide whether the ordered pair (-1, -4) is a solution of the given system.
x− y =5
x + y=−3
A) No B) Yes
Solution: Substitute in given system and check whether they satisfied or not.
And
Since, ordered pair does not satisfied the given system, hence not a solution. Therefore option (A) is
correct.
3) (-5, 5)
2 x+ y =−5
3 x+ 2 y =−5
A) No B) Yes
Solution: The answer is yes.
Solve by the elimination method.
4)