document.write( "Question 773294: Solve the system by addition.
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document.write( "x + 4y = 2
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document.write( "3x – 2y = –22
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Algebra.Com's Answer #471408 by ramkikk66(644)![]() ![]() ![]() You can put this solution on YOUR website! Solve the system by addition. \n" ); document.write( "x + 4y = 2 ---- eqn(1) \n" ); document.write( "3x – 2y = –22 ----- eqn (2) \n" ); document.write( "Multiply the second equation by 2, to make the y coefficient as -4 \n" ); document.write( "6x - 4y = -44 ----- call this eqn (3) \n" ); document.write( "Now, adding eqn(1) to eqn(3) \n" ); document.write( "x + 6x + 4y - 4y = 2 - 44 \n" ); document.write( "7x = -42 \n" ); document.write( "x = -42/7 = -6 \n" ); document.write( "Substituting for x in eqn(1) \n" ); document.write( "-6 + 4y = 2 \n" ); document.write( "4y = 8, or y = 8/4 = 2 \n" ); document.write( "Solution: x = -6, y = 2 \n" ); document.write( ":) \n" ); document.write( " \n" ); document.write( " |