document.write( "Question 828039: 4y-x=5+2y 3x+7y=24 use \n" ); document.write( "

Algebra.Com's Answer #499000 by LinnW(1048) $\"\"$ $\"About$

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4y-x=5+2y 3x+7y=24 use \r
\n" ); document.write( "\n" ); document.write( "rewrite 4y-x=5+2y
\n" ); document.write( "subtract 2y from each side
\n" ); document.write( "2y-x=5
\n" ); document.write( "-x+2y=5
\n" ); document.write( "_
\n" ); document.write( "So we now have
\n" ); document.write( "-x+2y=5
\n" ); document.write( "3x+7y=24
\n" ); document.write( "multiply the top equation by 3
\n" ); document.write( "-3x+6y=15
\n" ); document.write( "3x+7y=24
\n" ); document.write( "add the equations
\n" ); document.write( "13y=39
\n" ); document.write( "divide each side by 13
\n" ); document.write( " y = 3
\n" ); document.write( "substitute 3 for y in -x+2y=5
\n" ); document.write( "-x+2(3)=5
\n" ); document.write( "-x+6=5
\n" ); document.write( "add -6 to each side
\n" ); document.write( "-x = -1
\n" ); document.write( "x = 1
\n" ); document.write( "substitute 1 for x and 3 for y in the original equations
\n" ); document.write( "4y-x=5+2y
\n" ); document.write( "4(3)-1?=5+2(3)
\n" ); document.write( "12-1?=5+6
\n" ); document.write( "11=11
\n" ); document.write( "_
\n" ); document.write( "3x+7y=24
\n" ); document.write( "3(1)+7(3)?=24
\n" ); document.write( "3+21?=24
\n" ); document.write( "24=24 \n" ); document.write( "

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