solving systems of equations in two variables

Sep 1st, 2015
SKTFaker
Category:
Mathematics
Price: $5 USD

Question description

Estimate the solution of the system of equations shown in the graph below? 


o  (1, 0) and (-3, 0)

o  (0, -3) and (0, -1)

o  (-1, -2)

o  (-2, -1)



If a system of equations has exactly one solution, it is ____________________?


o  consistent and independent

o  inconsistent and independent

o  inconsistent and dependent

o  consistent and dependent



Which of the following graphs best represents a system of equations that has no solution? 


o  http://www.intervisualtechnology.us/data/1/15401/U4L1Q1A1.jpg

o  http://www.intervisualtechnology.us/data/1/15402/U4L1Q1A2.jpg

o  http://www.intervisualtechnology.us/data/1/15403/U4L1Q1A3.jpg

o  http://www.intervisualtechnology.us/data/1/15404/U4L1Q1A4.jpg



A student uses the substitution method to solve the system of equations below algebraically.

2x - y = 5
3x + 2y = -3

Which equation could be used?


o  3x + 2(2x - 5) = -3

o  3x + 2(5 - 2x) = -3

o  3(y + 5/2) + 2y = -3

o  3(5/2 - y) + 2y = -3


Which linear system has been correctly solved for one of the variables from the following system?

2x - y = -1
2x + y = -7


o  2x - y = -1 

     y = 2x - 7

o  2x - y = -1 

    y= -2x +7

o  y = 2x + 1

    2x + y = -7

o  y = -2x + 7

    2x + y = -7


Which linear system has the solution (6, 6)?

 o  3 x + y = 4

     4 x - 3 y = 1

o  4 x + 3 y = 0

    2 x - y = 0

o  4 x - 3 y = -1

   -2 x + y = -3

o  x + y = 12 

    3x - 2y = 6


A student is using the elimination method to solve the system of equations below. What is the best first step?

3x - y = 5
2x + 3y = 10


o  Multiply the first equation by 2.

o  Multiply the second equation by 3.

o  Multiply the first equation by 3.

o  Multiply the second equation by 2.



In which line is a mistake first made when solving the following system of equations by elimination for s?

2r + 7s = 11
r - 9s = -7

Line 12r + 7s = 11
2(r - 9s = -7)
Line 22r + 7s = 11 
2r - 18s = -14
Line 3-11s = -3
Line 4s = 11/3


o  Line 1

o  Line 2

o  Line 3

o  Line 4



Find the solution to the system of equations.

4c = 3d + 3
c = d - 1


o  c = 6, d = 7

o  c = 3, d = 4

o  c = 8, d = 7

o  c = 5, d = 4



What is the solution to the system of equations.

2x - 3y = -9
-x + 3y = 6 


o  (3, 3)

o  (-3, 1)

o  (-3, 3)

o  (1, -3)









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