##### Applications and equations

label Algebra
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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.

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Sep 14th, 2015

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Sep 14th, 2015
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Sep 14th, 2015
Sep 26th, 2017
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