Applications and equations

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

The combined land areas of countries A&B is 147,973 square kilometers.Country A is larger by 573 square kilometers.

Determine the land area of each country.

Sep 14th, 2015

Thank you for the opportunity to help you with your question! Hope your day is going well!

Let's write down what we know.

We know we have two countries,

A= country 1

B= country 2

We know that their combined areas is 147,973.

So, A+B=147,973 sq km

We also know that Country A is larger than Country B by 573.

Thus A=B+573

Step 1: Substitute A=B+573 into The first equation

A+B=147973

(B+573)+B=147973 (combine like terms)

2B+573=147973  (Subtract 573 from both sides)

2B=147400 (divide by 2 from both sides)

B=73,700 sq km

Substitute B=73,700 into the first equation to solve for A

A+B=147973

A+73,700=147973 (subtract 73,700 from both sides)

A=74273


Check your work with A=B+573

A=73700+573=74,272 check!

Thus

Country A =74,272 square kilometers

Country B= 73,700 square kilometers.



Please let me know if you need any clarification. I'm always happy to answer your questions. Leave a positive review if you are happy!
Sep 14th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Sep 14th, 2015
...
Sep 14th, 2015
Sep 26th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer