document.write( "Question 399660: This makes no sens what so ever... I am an 7th grader taking highschool math courses and this just stumped me. \r
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document.write( "Sarah and her brother, Jacob, worked hard weeding their neighbor’s garden. Together, they earned a total of $1040. Sarah earned $240 more than Jacob. How much did each of them earn?
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document.write( "Write a system of two equations with two variables to model this problem.
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document.write( " Use substitution or the elimination method to solve the system.
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document.write( " Answer the question.
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document.write( " show how to check your answer.\r
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Algebra.Com's Answer #283005 by Tatiana_Stebko(1539)![]() ![]() You can put this solution on YOUR website! If Sarah earned $x, and Jacob earned $y, then together they earned x+y, we know that they earned $1040, so we have the first equation \n" ); document.write( " \n" ); document.write( "Sarah earned $240 more than Jakob, so x-y=240 (second equation) \n" ); document.write( "The system of two equations with two variables to model this problem is \n" ); document.write( "x+y=1040 \n" ); document.write( "x-y=240 \n" ); document.write( "Let use the elimination method \n" ); document.write( "let add the first equation to the second \n" ); document.write( "x+y=1040 \n" ); document.write( "(x-y)+(x+y)=240+1040 \n" ); document.write( ". \n" ); document.write( "x+y=1040 \n" ); document.write( "2x=1280, then \n" ); document.write( "Let put x=640 in the first equation x+y=1040 \n" ); document.write( "640+y=1040 \n" ); document.write( "y=1040-640 \n" ); document.write( "y=400 $ Jakob earned \n" ); document.write( "answer: x=640,y=400 \n" ); document.write( "For check answer put x=640,y=400 in any equations of system \n" ); document.write( "x+y=1040, 640+400=1040, 1040=1040 (correct) \n" ); document.write( "x-y=240, 640-400=240, 240=240 (correct) \n" ); document.write( "Answer: Sarah earned $640; Jakob earned $400 \n" ); document.write( " |