Solve by elimination: 3y-4x=29 2y+5=4
1 answer:
The solution is x = -61/8 and y = -1/2.
<u>Step-by-step explanation</u>:
The given equations are -4x + 3y = 29 and 2y + 5 = 4
<u>Step 1</u> : There is no x term in the second equation.
<u>Step 2</u> : Solve for y, 2y = 4 -5
y = -1/2
<u>Step 3</u> : Substitute y = -1/2 in first equation and solve for x.
<u>Step 4</u> : -4x + 3(-1/2) = 29
-4x -(3/2) = 29
-8x -3 = 292
-8x = 58 + 3
x = -61/8
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The number of dogs that are not puppies is 17, the number of adult dogs without long hair is 6, the number of puppy dogs with long hair is 8 and the number of puppy dogs without long hair is 7.
<h3>What is the information missing?</h3>To complete the chart it is necessary to determine:
- Number of dogs that are not puppies.
- Number of puppies with and without long hair
- Number of adult dogs without long hair
Number of dogs that are not puppies:
- 32 (total dogs) - 15 (puppies) = 17 dogs
Adult dogs without long hair:
- 17 (total adult dogs) - 11 (adult dogs with long hair) = 6 dogs
Puppy dogs with and without long hair
Total of puppy dogs = 15, this number can be obtained by adding 9+6 or 7+8. From these combinations, the only one that meets the rule "There are 6 more dogs that have long hair than dogs that do not have long hair" is 8 puppies with long hair and 7 puppies without long hair.
Note: This question is not written correctly; here is the correct and complete question.
Samantha gathered the following information on a given day at the dog park.
There are 32 dogs playing at the dog park.
15 of the dogs are puppies.
11 of the dogs are not puppies and have long hair.
There are 6 more dogs that have long hair than dogs that do not have long hair.
Fill in the table completely to represent Samantha’s data.
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