document.write( "Question 107324: solve the following sytems of equations \r
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document.write( "1. 2. 3.
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document.write( "y=7x-8 6x+7y=19 3x-2y=4
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document.write( "y=3x-12 x+y=5 2x+y=12 \n" );
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Algebra.Com's Answer #78147 by elima(1433)![]() ![]() ![]() You can put this solution on YOUR website! Since it doesn't say which method to use, I will use the substitution method; \n" ); document.write( "1)y=7x-8 \n" ); document.write( " y=3x-12 \n" ); document.write( "Lets substitute y=3x-12 for y in the other equation \n" ); document.write( "(3x-12)=7x-8 \n" ); document.write( "3x-7x=-8+12 \n" ); document.write( "-4x=4 \n" ); document.write( "x=-1 \n" ); document.write( "Now plug that in for x in either equation; \n" ); document.write( "y=7(-1)-8 \n" ); document.write( "y=-7-8 \n" ); document.write( "y=-15 \n" ); document.write( "======================================== \n" ); document.write( "2)6x+7y=19 \n" ); document.write( " x+y=5 \n" ); document.write( "------------------------ \n" ); document.write( "for this one lets solve the second equation for x and then use that answer in the first equation; \n" ); document.write( "x=5-y \n" ); document.write( "6(5-y)+7y=19 \n" ); document.write( "30-6y+7y=19 \n" ); document.write( "y=19-30 \n" ); document.write( "y=-11 \n" ); document.write( "x-11=5 \n" ); document.write( "x=5+11 \n" ); document.write( "x=16 \n" ); document.write( "===================================== \n" ); document.write( "3)3x-2y=4 \n" ); document.write( " 2x+y=12 \n" ); document.write( "-------------------- \n" ); document.write( "lets solve the second equation for y; \n" ); document.write( "y=12-2x \n" ); document.write( "----------------------------- \n" ); document.write( "3x-2(12-2x)=4 \n" ); document.write( "3x-24+4x=4 \n" ); document.write( "7x=4+24 \n" ); document.write( "7x=28 \n" ); document.write( "x=4 \n" ); document.write( "2(4)+y=12 \n" ); document.write( "8+y=12 \n" ); document.write( "y=12-8 \n" ); document.write( "y=4 \n" ); document.write( ":) \n" ); document.write( " |