# Question 1 Which of the following is the solution to system

Question # 00085241 Posted By: echo7 Updated on: 07/27/2015 02:36 AM Due on: 08/26/2015
Subject Mathematics Topic General Mathematics Tutorials:
Question

Question 1

Which of the following is the solution to system

3x + 4y = 7
x + 2y = 2

 (x = 6, y = -2) (x = 5, y = -2) (x = 4, y = -1/2) (x = 3, y = -1/2)

Question 2

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.

2x- 3y =2
6x- 9y =8

 one solution infinitely many solutions no solution can not tell

10 points

Question 3

Solve the linear system of equations x +4y =9, 0.5x + 2y = 4.5.

 Unique solution: (1, 2) Unique solution (4, 1 ) Infinitely many solutions; (9-4k, k) No solution.

10 points

Question 4

A farmer has 400 acres available for cultivating crops A and B. He has a maximum of 13,200 hours of labor available. The labor required for cultivation crop A is 20 hours per acre and for crop B is 30 hours per acre.
Write the system of equations needed to determine how many acres of each crop should the farmer plant if he wishes to utilize all his resources.

(Let x = number of acres for cultivating crop A, y = number of acres for cultivating crop B).

 x+y = 400 20x+30y=13200 x+30y= 400 x+20y =13200 x+y= 400 20x+4z=11200 none of the above

10 points

Question 5

A restaurant manager wants to purchase 200 sets of dishes. One design costs \$25 per set, while another costs \$45 per set. If she only has \$7400 to spend, how many of each design should be ordered?

 110 \$25 sets and 90 \$45 sets 100 \$25 sets and 100 \$45 sets 120 \$25 sets and 80 \$45 sets 80 \$25 sets and 120 \$45 sets

10 points

Question 6

Determine the value of k for which the system of linear equations has no solution.

2x -y = 3,

4x + ky = 5

 -2 5/3 2 -4

10 points

Question 7

Write the augmented matrix corresponding to the given system of equations.

2x - 3y =4

3x - 2y =5

 [2 -3] [3 -2] [2 3] [-3-2] [2-34] [3-25] [42-3] [53-2]

10 points

Question 8

Which of the followings is not in row reduced form?

 [10|2] [00|3] [10|2] [01|3] [120|1] [001|3] [000|0] [110|0] [010|0] [000|0]

10 points

Question 9

Given matrix

[123|-1]

[21-1|2]

[-105|7]

What will be the new second row after the row operation: R2-2R1+R3?

 [0, -3, -7 |4] [-1, -3, -2 | 11] [1, 1, 4 | 9] [0, 0, 1 | 2]

10 points

Question 10

With Gauss-Jordan elimination, the following matrix can be reduced to the reduced form

[12|3]

[23|4]

 [12|3] [0-1|-2] [10|-1] [01|2] [10|-1] [11|1] [11|1] [01|2]

Tutorials for this Question
1. ## Solution: Question 1 Which of the following is the solution to system

Tutorial # 00079926 Posted By: echo7 Posted on: 07/27/2015 02:36 AM
Puchased By: 2
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acres available for cultivating crops A and B. He has ...
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