46. -4a – 50 = 14 48 6c + 6d = -24 9a + 3b = -48 playing doubles, and 49. TENNIS At a park, there are 38 people playing tennis. Some are some are playing singles. There are 13 matches in progress. A doubles match 4 players, and a singles match requires 2 players. a. Write a system of two equations that represents the number of singles and doubles requires matches going on. b. How many matches of each kind are in progress?
46. -4a – 50 = 14 48 6c + 6d = -24 9a + 3b = -48 playing doubles, and 49. TENNIS At a park, there are 38 people playing tennis. Some are some are playing singles. There are 13 matches in progress. A doubles match 4 players, and a singles match requires 2 players. a. Write a system of two equations that represents the number of singles and doubles requires matches going on. b. How many matches of each kind are in progress?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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number 49 all parts
Transcribed Image Text:3x + 18y = 14
Solve each system of equations by using substitution.
43. 9y +3x = 18
-3y – x = -6
44. 5x - 20y = 70
6x + 5y = -32
45. -4x - 16y = -96
7x + 3y = 68
47. -9c- 4d = 31
6c + 6d = -24
48. 8f + 3g = 12
-32f - 12g = 48
46. -4a - 5b = 14
9a + 3b = -48
playing doubles, and
49. TENNIS At a park, there are 38 people playing tennis. Some are
4 players, and a singles match requires 2 players.
matches going on.
b. How many matches of each kind are in progress?
Ive each system of equations by using elimination.
8x + y = 27
-3x + 4y = 3
51. 2a-5b = -20
2a+5b = 20
52. 6j + 4k=-46
21+4k -26
Br - 8y = 24
-12r +32y = 96
54. 5a-2b=-19
8a+5b=-55
55. r-6t 44
9r+121 0
+ 5f= -32
- 9f = 26
57. 11u = 50 +35
58.-1.2c+3.44-6
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