document.write( "Question 207839: solve system using substution method
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document.write( "4x+y=5
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document.write( "5y=x+y
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document.write( "solution (?,?) \n" );
document.write( "
Algebra.Com's Answer #157214 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Did you copy this one correctly? Should the second equation should be 5=x+y? Either one is somewhat ugly, so I'll go with your problem as stated.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In the second equation, subtract y from each side. \n" ); document.write( "5y=x+y \n" ); document.write( "4y=x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute this into the first equation for x: \n" ); document.write( "4x+y=5 \n" ); document.write( "4(4y)+ y = 5 \n" ); document.write( "16y + y=5 \n" ); document.write( "17y=5 \n" ); document.write( "y=5/17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To solve for x, go back to the equation x=4y \n" ); document.write( "x=4y \n" ); document.write( "x=4(5/17) \n" ); document.write( "x=20/17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The solution is (20/17,5/17)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check in the OTHER equation \n" ); document.write( "4x+y =5 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It checks!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 \n" ); document.write( " |