document.write( "Question 194669: Solve the linear system in the next question using the Substitution Method. Describe the steps.\r
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document.write( "2x + 3y = -4
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document.write( "x – 2y = 5
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Algebra.Com's Answer #146068 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 2x + 3y = -4 \n" ); document.write( "x – 2y = 5 or x=2y+5 \n" ); document.write( "now substitute (2y+5) for x in the first equation & solve for y. \n" ); document.write( "2(2y+5)+3y=-4 \n" ); document.write( "4y+10+3y=-4 \n" ); document.write( "7y=-4-10 \n" ); document.write( "7y=-14 \n" ); document.write( "y=-14/7 \n" ); document.write( "y=-2 ans. \n" ); document.write( "Now replace y by -2 in the second equation & solve for x. \n" ); document.write( "x-2(-2)=5 \n" ); document.write( "x+4=5 \n" ); document.write( "x=5-4 \n" ); document.write( "x=1 ans. \n" ); document.write( "Proof: \n" ); document.write( "2*1+3*-2=-4 \n" ); document.write( "2-6=-4 \n" ); document.write( "-4=-4 \n" ); document.write( " \n" ); document.write( " |