document.write( "Question 104740: 50. Solve each system by substitution or addition, whichever is easier.\r
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document.write( "2y-x=3
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document.write( " x=3y-5\r
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document.write( "What are the steps to solving this problem? \n" );
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Algebra.Com's Answer #76222 by doukungfoo(195)![]() ![]() You can put this solution on YOUR website! 2y-x=3 \n" ); document.write( "x=3y-5 \n" ); document.write( "Since the second equation has already been set equal to x I'll demostrate the substitution method. \n" ); document.write( "Substitute 3y-5 for x in the first equation \n" ); document.write( "2y - x = 3 \n" ); document.write( "2y - (3y-5) = 3 \n" ); document.write( "2y - 3y + 5 = 3 \n" ); document.write( "-1y + 5 = 3 \n" ); document.write( "-y = -2 \n" ); document.write( "y = 2 \n" ); document.write( "Now use this value for y to solve for x in the second equation \n" ); document.write( "x = 3y - 5 \n" ); document.write( "x = 3(2) - 5 \n" ); document.write( "x = 6 - 5 \n" ); document.write( "x = 1 \n" ); document.write( "Check both anwsers in both equations \n" ); document.write( "Try the first equation \n" ); document.write( "2y - x = 3 \n" ); document.write( "2(2) - (1) = 3 \n" ); document.write( "4 - 1 = 3 \n" ); document.write( "3 = 3 \n" ); document.write( "Now try the second equation \n" ); document.write( "x = 3y - 5 \n" ); document.write( "1 = 3(2) - 5 \n" ); document.write( "1 = 6 - 5 \n" ); document.write( "1 = 1 \n" ); document.write( " \n" ); document.write( " |