document.write( "Question 1002707: Please help me solve this by substitution\r
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document.write( "x+6y=9
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document.write( "2x+5y=4
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Algebra.Com's Answer #619570 by person24(13)![]() ![]() ![]() You can put this solution on YOUR website! x+6y=9 \n" ); document.write( "2x+5y=4\r \n" ); document.write( "\n" ); document.write( "okay first get one variable by itself on the firs equation. I prefer to start with x but you can start with y if you would like. \r \n" ); document.write( "\n" ); document.write( "x+6y=9\r \n" ); document.write( "\n" ); document.write( "x=9-6y\r \n" ); document.write( "\n" ); document.write( "Now you substitute x for 9-6y in the second equation...\r \n" ); document.write( "\n" ); document.write( "2(9-6y)+5y=4\r \n" ); document.write( "\n" ); document.write( "distribute\r \n" ); document.write( "\n" ); document.write( "18-12y+5y=4\r \n" ); document.write( "\n" ); document.write( "combine like terms\r \n" ); document.write( "\n" ); document.write( "18-7y=4\r \n" ); document.write( "\n" ); document.write( "-7y=-14\r \n" ); document.write( "\n" ); document.write( "divide -7\r \n" ); document.write( "\n" ); document.write( "y=2\r \n" ); document.write( "\n" ); document.write( "woot! \r \n" ); document.write( "\n" ); document.write( "now we need x\r \n" ); document.write( "\n" ); document.write( "so in the first equation substitute y for 2\r \n" ); document.write( "\n" ); document.write( "x+6y=9....\r \n" ); document.write( "\n" ); document.write( "x+6(2)=9\r \n" ); document.write( "\n" ); document.write( "multiply\r \n" ); document.write( "\n" ); document.write( "x+12=9\r \n" ); document.write( "\n" ); document.write( "subtract \r \n" ); document.write( "\n" ); document.write( "x=-3\r \n" ); document.write( "\n" ); document.write( "yay! \r \n" ); document.write( "\n" ); document.write( "now check your work for x=-3 and y=2 in the first equation (or whichever you like it doesn't mater) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+6y=9\r \n" ); document.write( "\n" ); document.write( "(-3)+6(2)=9????\r \n" ); document.write( "\n" ); document.write( "-3+12=9???\r \n" ); document.write( "\n" ); document.write( "9=9 :D\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |