document.write( "Question 562149: Question:\r
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document.write( "Directions: Write a system of equations to model the situation.
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document.write( "Sarah is 25 years older than her son Gavin. In ten years, Sarah will be twice Gavin's age. How old are Sarah and Gavin now?\r
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document.write( "My Work:
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document.write( "Let x= Sarah's age
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document.write( "Let y= Gavin's age
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document.write( "y=x-25
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document.write( "10+x=2y
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document.write( "Subsitution:
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document.write( "y=2y-25
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document.write( " +25
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document.write( "y+25=2y
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document.write( "-y
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document.write( "25=2y
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document.write( "divide by 2
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document.write( "y=25\r
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document.write( "2(25)=x
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document.write( "x=50 Sarah is 50 years old and Gavin is 25 years old. \n" );
document.write( "
Algebra.Com's Answer #364458 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Question:\r \n" ); document.write( "\n" ); document.write( "Directions: Write a system of equations to model the situation. \n" ); document.write( "Sarah is 25 years older than her son Gavin. In ten years, Sarah will be twice Gavin's age. How old are Sarah and Gavin now?\r \n" ); document.write( "\n" ); document.write( "My Work: \n" ); document.write( "Let x= Sarah's age \n" ); document.write( "Let y= Gavin's age \n" ); document.write( "y=x-25 \n" ); document.write( "10+x=2y ************** In 10 years, 2*(x-15) = y+10 \n" ); document.write( "Subsitution: \n" ); document.write( "y=2y-25 \n" ); document.write( " +25 \n" ); document.write( "y+25=2y \n" ); document.write( "-y \n" ); document.write( "25=2y \n" ); document.write( "divide by 2 \n" ); document.write( "y=25\r \n" ); document.write( "\n" ); document.write( "2(25)=x \n" ); document.write( "x=50 Sarah is 50 years old and Gavin is 25 years old. \n" ); document.write( "------------------------ \n" ); document.write( "The answer you got is what their ages will be in 10 years. \n" ); document.write( "Now, they're 40 and 15. \n" ); document.write( "=============================\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |