document.write( "Question 86770This question is from textbook algebra structure and method
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document.write( ": I'm supposed to solve this by using the substitution method and check it.
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document.write( "I'm not sure how to do this one
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document.write( "x=1/5y
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document.write( "3x+2y=26
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document.write( "I would appreciate the help \n" );
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Algebra.Com's Answer #62777 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! x=1/5y \n" ); document.write( "3x+2y=26 \n" ); document.write( ". \n" ); document.write( "Replace x=1/5y for x in the second equation and simplify\" \n" ); document.write( "3(1/5y)+2y=26 \n" ); document.write( "3/5y+2y=26 \n" ); document.write( "3/5y+10/5y=26 \n" ); document.write( "13/5y=26 \n" ); document.write( ". \n" ); document.write( "(5/13)(13/5)y=(5/13)(26) \n" ); document.write( "y=130/13 \n" ); document.write( "y=10 \n" ); document.write( ". \n" ); document.write( "Solve for the x-term by plugging (y=10) back into either equation: \n" ); document.write( "3x+2y=26 \n" ); document.write( "3x+2(10)=26 \n" ); document.write( "3x+20=26 \n" ); document.write( "3x+20-20=26-20 \n" ); document.write( "3x=6 \n" ); document.write( "3x/3=6/3 \n" ); document.write( "x=2 \n" ); document.write( ". \n" ); document.write( "checking: \n" ); document.write( "3x+2y=26 \n" ); document.write( "3(2)+2(10)=26 \n" ); document.write( "6+20=26 \n" ); document.write( "26=26 [checks out] \n" ); document.write( " \n" ); document.write( " |