QuickHelper

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    Phoniex
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Category > Engineering Posted 19 Aug 2017 My Price 11.00

System of linear equations and Quadratic Functions, math

 

Questions 1-10. Showing Work Is not Required.

 

Systems of Linear Equations, Matrices and Determinants

 

          Select the correct answer or enter the answers in the spaces provided.

 

(1)     __________   Solve the system of linear equations by substitution.


                                       + x  +  4 y  =  + 13

                                      − x  −  3 y  =  − 11

 

(2)     __________   Solve the system of linear equations by elimination.       

                                      1 x  +  4 y  =  2

                                      2 x  −  1 y  =  1

 

(3)     __________   Determine the Quadrant, in the Cartesian Coordinate System, that                            contains the solution to this system.

 

                                      3 x  +  5 y  =  + 20

                                      1 x  +  7 y  =  − 14

 

                             Also, sketch the graph of the system using the provided                                        coordinate grid.  Label the axes and scale the grid accordingly.

                             Label the point of intersection.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

         

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(4)     __________   For this linear system, determine the determinant of the matrix of                                     coefficients.

 

                                                + 2 a  −  3 b  =  06

                                      − 2 a  +  3 b  =  12

(5)     __________   Find the equilibrium point for this demand and supply equation                                system, where p  is the price and x  is the number of units that                              satisfy both the demand and supply equations.

 

                                      p  =  $ 400  −  $ 0.002 x               demand equation

 

                                      p  =  $ 225  +  $ 0.005 x              supply equation

 

 

(6)     __________   When using Cramer’s Rule to solve the given system of linear                                  equations, what would be the determinant D x  of the numerator                                       in the solution for the x  variable only?

 

                                                + 1 x  −  4 y  =  9

                                      − 3 x  =  12 y  −  30

 

(7)     __________   Determine whether the system has one solution, no solution or an                           infinite number of solutions.

                            

                                       1 m  +  3 n  =  06

                                       1 m  +  2 n  =  12

 

          __________   Determine whether the system has one solution, no solution or an                           infinite number of solutions.

                            

                                      1 m  +  3 n  =  06

                                      1 m  +  3 n  =  12

 

          __________   Determine whether the system has one solution, no solution or an                           infinite number of solutions.

                            

                                      3 m  +  2 n  =  06

                                      6 m  +  4 n  =  12

 

(8)     __________   Evaluate the following 3 by 3 determinant.

 

+ 2

− 1

+ 4

+ 0

+ 8

+ 1

− 3

+ 5

+ 6

 

 

(9)     __________   Solve this 3 by 3 system of linear equations.

 

                                                − 4 u  +  7 v  −  10 w  =  + 35

                                              + 5 u  +  5 v  −  02 w  =  + 09
                                                + 2 u  −  3 v  −  04 w  =  − 41

 

(10)   __________   Solve the 3 by 3 system of linear equations.

 

                                                + 1 u  +  10 v  =  − w  +  52

 

                                              − 5 u  =  v  +  4 w  −  15
                                                + 1 u  +  2 v  −  3 w  =  12

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Answers

QuickHelper
(10)
Status NEW Posted 19 Aug 2017 08:08 AM My Price 11.00

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