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
\n" ); document.write( "\n" ); 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?
\n" ); document.write( "Write a system of two equations with two variables to model this problem.
\n" ); document.write( " Use substitution or the elimination method to solve the system.
\n" ); document.write( " Answer the question.
\n" ); document.write( " show how to check your answer.\r
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Algebra.Com's Answer #283005 by Tatiana_Stebko(1539)\"\" \"About 
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( "\"x%2By=1040\"
\n" ); document.write( "Sarah earned $240 more than Jakob, so x-y=240 (second equation)
\n" ); document.write( "The system of two equations with two variables to model this problem is
\n" ); document.write( "x+y=1040
\n" ); document.write( "x-y=240
\n" ); document.write( "Let use the elimination method
\n" ); document.write( "let add the first equation to the second
\n" ); document.write( "x+y=1040
\n" ); document.write( "(x-y)+(x+y)=240+1040
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\n" ); document.write( "x+y=1040
\n" ); document.write( "2x=1280, then \"x=1280%2F2=640\"$ Sarah earned
\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
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