document.write( "Question 26597: I am a mother of a 9th grade high school student trying to solve word problems. I do not know how to direct my son to the solution. Could you help me to set these problems into equations? Here are the instructions and the word problem: Write a system of equations for each problem and choose the best method to solve each system; solve and check your answers. Problem: To rent an apartment a one-time deposit is frequently required with the first month's rent. Roberto paid $900. the first month and a total of $6950. during the first year. Find the monthly rent and the amount of the deposit. \n" ); document.write( "

Algebra.Com's Answer #14447 by itseasyas123(1) $\"\"$ $\"About$

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let \"x\" equal the monthly rent. $900 dollars is the deposit. therefore, 11x (12 months in a year but the first month is included in the 900) + 900 (for the deposit and the first month) = 6950. the equation would be 11x + 900 = 6950. you would isolate the variable, by getting it on one side by itself. first, subtract 900 from both sides. you get 6050. your equation should now read 11x = 6050. divide both sides by 11 to get what x equals. this is the monthly rent. you get 550. you would then subtract 550 from 900 because that is what the monthly rent is. you would get 350. the deposit was 350 and the rent per month waqs 550. anything that is unclear, let me know. \n" ); document.write( "

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