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brennarfa
27.10.2020 •
Mathematics
Help me plisss it's for tomorrow I need to Identify the husband and dog for each woman. (SHOW your work!)Abigail, Bertha, Candy, Dodi, and Eudora showed up with their puppies at the Little Red SchoolHouse for Dogs. During the morning break, they found that each of their pets has the same name as the husband of one of the other women.
In particular, they noticed that
• Abigail’s dog is named George.
• Candy’s dog is named Jerry.
• Eudora’s dog is named Ike.
• Dodi’s dog is named Frank.
• Abigail’s husband is also named Frank.
• Bertha’s husband has the same name as George’s dog.
• Horace and his wife, Candy, have the best behaved dog.
Your job is to figure out the names of each woman’s husband and each woman’s dog. In addition, you must explain clearly how you found your answer. If you think there is more than one possibility, give all solutions, and explain why there are no more. If you think there is only one solution, explain why there are no others.
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Ответ:
Multiply the second equation by -3 to get -3x - 9y = -30.
Step-by-step explanation:
When eliminating, you need to find a term with the negative of that term to combine so that they cancel each other out. An example would be 3x in the first equation and (-3x) in another equation so that when added, it becomes: 3x-3x = 0.
In the second equation, you see that there is already an x there and you just need to make it become (-3x). Thus, you multiply the entire second equation by -3 to make -3x. Once you have done that, you can combine the two equations and eliminate 3x from the first equation.
3x + 5y = 30
-3x - 9y = -30
3x + 5y -3x - 9y = 30 + (-30)
0 - 4y = 30 - 30
-4y = 0
You can find y and then x later on from here.