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Mathematics 9 Online
OpenStudy (anonymous):

I really need help please!~ The combined land area of the countries A and B is 145,973 square kilometers. Country A is larger by 573 square kilometers. Determine the land area of each country. The land area of country A is how many square kilometers? Anyone out there?

OpenStudy (anonymous):

Suppose \(x\) is the land area of A. You know that Country A has 573 km² more than Country B, which means the land area of B is \(x-573\). The total is 145,973, so you have the equation: \[\color{red}A+\color{blue}B=145,973\\ \color{red}{x}+\color{blue}{x-573}=145,973\] Solve for \(x\).

OpenStudy (ybarrap):

So you have A + B = 145,973 And A = B + 573 Do you see how I got that?

OpenStudy (anonymous):

This is a system of equations problem, we start by saying A + B = 145,973

OpenStudy (anonymous):

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OpenStudy (anonymous):

now the problem says: Country A is larger(than B) by 573 square kilometers How do we write that in math language? @DebbieZ

OpenStudy (anonymous):

Country A is larger(than B) by 573 square kilometers That means, If I have B and I add 573 to it I will have A

OpenStudy (anonymous):

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OpenStudy (anonymous):

We have everything we need to solve this problem Do you have a guess on how to continue? We can solve by substitution We can plug in B + 573 for A in the first equation

OpenStudy (anonymous):

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